Created
April 24, 2018 16:36
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| [class_instances] class-instance resolution trace | |
| [class_instances] (0) ?x_0 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := _inst_5 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @is_ring_hom.im.comm_ring ?x_1 ?x_2 ?x_3 ?x_4 ?x_5 ?x_6 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @subring.comm_ring ?x_7 ?x_8 ?x_9 ?x_10 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @is_ideal.help ?x_11 ?x_12 ?x_13 ?x_14 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @is_ideal.quotient.comm_ring ?x_15 ?x_16 ?x_17 ?x_18 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @quotient_ring.comm_ring ?x_19 ?x_20 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @at_prime.comm_ring ?x_21 ?x_22 ?x_23 ?x_24 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @away.comm_ring ?x_25 ?x_26 ?x_27 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @localization.comm_ring ?x_28 ?x_29 ?x_30 ?x_31 | |
| [class_instances] (1) ?x_29 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_29 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_5 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_29 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ring_hom.im.comm_ring ?x_32 ?x_33 ?x_34 ?x_35 ?x_36 ?x_37 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_29 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @subring.comm_ring ?x_38 ?x_39 ?x_40 ?x_41 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_29 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ideal.help ?x_42 ?x_43 ?x_44 ?x_45 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_29 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ideal.quotient.comm_ring ?x_46 ?x_47 ?x_48 ?x_49 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_29 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @quotient_ring.comm_ring ?x_50 ?x_51 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_29 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @at_prime.comm_ring ?x_52 ?x_53 ?x_54 ?x_55 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_29 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @away.comm_ring ?x_56 ?x_57 ?x_58 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_29 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @localization.comm_ring ?x_59 ?x_60 ?x_61 ?x_62 | |
| [class_instances] (2) ?x_60 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_60 : comm_ring R := _inst_5 | |
| [class_instances] (2) ?x_62 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @non_zero_divisors.is_submonoid ?x_63 ?x_64 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_62 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @prime.is_submonoid ?x_65 ?x_66 ?x_67 ?x_68 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_62 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @monoid.closure.is_submonoid ?x_69 ?x_70 ?x_71 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_62 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @powers.is_submonoid ?x_72 ?x_73 ?x_74 | |
| [class_instances] (3) ?x_73 : monoid R := @subtype.monoid ?x_75 ?x_76 ?x_77 ?x_78 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_73 : monoid R := @multiplicative.monoid ?x_79 ?x_80 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_73 : monoid R := int.monoid | |
| failed is_def_eq | |
| [class_instances] (3) ?x_73 : monoid R := nat.monoid | |
| failed is_def_eq | |
| [class_instances] (3) ?x_73 : monoid R := @ring.to_monoid ?x_81 ?x_82 | |
| [class_instances] (4) ?x_82 : ring R := @nonneg_ring.to_ring ?x_83 ?x_84 | |
| [class_instances] (5) ?x_84 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_85 ?x_86 | |
| [class_instances] (4) ?x_82 : ring R := @domain.to_ring ?x_83 ?x_84 | |
| [class_instances] (5) ?x_84 : domain R := @linear_nonneg_ring.to_domain ?x_85 ?x_86 | |
| [class_instances] (5) ?x_84 : domain R := @to_domain ?x_85 ?x_86 | |
| [class_instances] (6) ?x_86 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_87 ?x_88 | |
| [class_instances] (6) ?x_86 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_87 ?x_88 | |
| [class_instances] (7) ?x_88 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_89 ?x_90 | |
| [class_instances] (8) ?x_90 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_86 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_87 ?x_88 | |
| [class_instances] (7) ?x_88 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_89 ?x_90 | |
| [class_instances] (8) ?x_90 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_91 ?x_92 ?x_93 ?x_94 | |
| [class_instances] (8) ?x_90 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (8) ?x_90 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_91 ?x_92 | |
| [class_instances] (9) ?x_92 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_84 : domain R := @division_ring.to_domain ?x_85 ?x_86 | |
| [class_instances] (6) ?x_86 : division_ring R := @field.to_division_ring ?x_87 ?x_88 | |
| [class_instances] (7) ?x_88 : field R := @linear_ordered_field.to_field ?x_89 ?x_90 | |
| [class_instances] (8) ?x_90 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_91 ?x_92 | |
| [class_instances] (9) ?x_92 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_88 : field R := @discrete_field.to_field ?x_89 ?x_90 | |
| [class_instances] (8) ?x_90 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (8) ?x_90 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_91 ?x_92 | |
| [class_instances] (9) ?x_92 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_84 : domain R := @integral_domain.to_domain ?x_85 ?x_86 | |
| [class_instances] (6) ?x_86 : integral_domain R := @field.to_integral_domain ?x_87 ?x_88 | |
| [class_instances] (7) ?x_88 : field R := @linear_ordered_field.to_field ?x_89 ?x_90 | |
| [class_instances] (8) ?x_90 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_91 ?x_92 | |
| [class_instances] (9) ?x_92 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_88 : field R := @discrete_field.to_field ?x_89 ?x_90 | |
| [class_instances] (8) ?x_90 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (8) ?x_90 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_91 ?x_92 | |
| [class_instances] (9) ?x_92 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_86 : integral_domain R := @discrete_field.to_integral_domain ?x_87 ?x_88 ?x_89 | |
| [class_instances] (7) ?x_88 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (7) ?x_88 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_90 ?x_91 | |
| [class_instances] (8) ?x_91 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_86 : integral_domain R := @linear_ordered_comm_ring.to_integral_domain ?x_87 ?x_88 | |
| [class_instances] (7) ?x_88 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_89 ?x_90 | |
| [class_instances] (8) ?x_90 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_91 ?x_92 ?x_93 ?x_94 | |
| [class_instances] (8) ?x_90 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (8) ?x_90 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_91 ?x_92 | |
| [class_instances] (9) ?x_92 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_82 : ring R := int.ring | |
| failed is_def_eq | |
| [class_instances] (4) ?x_82 : ring R := @division_ring.to_ring ?x_83 ?x_84 | |
| [class_instances] (5) ?x_84 : division_ring R := @field.to_division_ring ?x_85 ?x_86 | |
| [class_instances] (6) ?x_86 : field R := @linear_ordered_field.to_field ?x_87 ?x_88 | |
| [class_instances] (7) ?x_88 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_89 ?x_90 | |
| [class_instances] (8) ?x_90 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_86 : field R := @discrete_field.to_field ?x_87 ?x_88 | |
| [class_instances] (7) ?x_88 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (7) ?x_88 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_89 ?x_90 | |
| [class_instances] (8) ?x_90 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_82 : ring R := @ordered_ring.to_ring ?x_83 ?x_84 | |
| [class_instances] (5) ?x_84 : ordered_ring R := @nonneg_ring.to_ordered_ring ?x_85 ?x_86 | |
| [class_instances] (6) ?x_86 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_87 ?x_88 | |
| [class_instances] (5) ?x_84 : ordered_ring R := @linear_ordered_ring.to_ordered_ring ?x_85 ?x_86 | |
| [class_instances] (6) ?x_86 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_87 ?x_88 | |
| [class_instances] (6) ?x_86 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_87 ?x_88 | |
| [class_instances] (7) ?x_88 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_89 ?x_90 | |
| [class_instances] (8) ?x_90 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_86 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_87 ?x_88 | |
| [class_instances] (7) ?x_88 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_89 ?x_90 | |
| [class_instances] (8) ?x_90 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_91 ?x_92 ?x_93 ?x_94 | |
| [class_instances] (8) ?x_90 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (8) ?x_90 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_91 ?x_92 | |
| [class_instances] (9) ?x_92 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_82 : ring R := @comm_ring.to_ring ?x_83 ?x_84 | |
| [class_instances] (5) ?x_84 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_84 : comm_ring R := _inst_5 | |
| [class_instances] (1) ?x_31 : @is_submonoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) := @non_zero_divisors.is_submonoid ?x_85 ?x_86 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_31 : @is_submonoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) := @prime.is_submonoid ?x_87 ?x_88 ?x_89 ?x_90 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_31 : @is_submonoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) := @monoid.closure.is_submonoid ?x_91 ?x_92 ?x_93 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_31 : @is_submonoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) := @powers.is_submonoid ?x_94 ?x_95 ?x_96 | |
| [class_instances] (2) ?x_95 : monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @subtype.monoid ?x_97 ?x_98 ?x_99 ?x_100 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_95 : monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @multiplicative.monoid ?x_101 ?x_102 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_95 : monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.monoid | |
| failed is_def_eq | |
| [class_instances] (2) ?x_95 : monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := nat.monoid | |
| failed is_def_eq | |
| [class_instances] (2) ?x_95 : monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @ring.to_monoid ?x_103 ?x_104 | |
| [class_instances] (3) ?x_104 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @nonneg_ring.to_ring ?x_105 ?x_106 | |
| [class_instances] (4) ?x_106 : nonneg_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_nonneg_ring ?x_107 ?x_108 | |
| [class_instances] (3) ?x_104 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @domain.to_ring ?x_105 ?x_106 | |
| [class_instances] (4) ?x_106 : domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_domain ?x_107 ?x_108 | |
| [class_instances] (4) ?x_106 : domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @to_domain ?x_107 ?x_108 | |
| [class_instances] (5) ?x_108 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_linear_ordered_ring ?x_109 ?x_110 | |
| [class_instances] (5) ?x_108 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_linear_ordered_ring ?x_109 ?x_110 | |
| [class_instances] (6) ?x_110 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_111 ?x_112 | |
| [class_instances] (7) ?x_112 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_108 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_109 ?x_110 | |
| [class_instances] (6) ?x_110 : linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_111 ?x_112 | |
| [class_instances] (7) ?x_112 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_113 ?x_114 ?x_115 ?x_116 | |
| [class_instances] (7) ?x_112 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (7) ?x_112 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_113 ?x_114 | |
| [class_instances] (8) ?x_114 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_106 : domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @division_ring.to_domain ?x_107 ?x_108 | |
| [class_instances] (5) ?x_108 : division_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @field.to_division_ring ?x_109 ?x_110 | |
| [class_instances] (6) ?x_110 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_field ?x_111 ?x_112 | |
| [class_instances] (7) ?x_112 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_113 ?x_114 | |
| [class_instances] (8) ?x_114 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_110 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_field.to_field ?x_111 ?x_112 | |
| [class_instances] (7) ?x_112 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (7) ?x_112 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_discrete_field ?x_113 ?x_114 | |
| [class_instances] (8) ?x_114 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_106 : domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @integral_domain.to_domain ?x_107 ?x_108 | |
| [class_instances] (5) ?x_108 : integral_domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @field.to_integral_domain ?x_109 ?x_110 | |
| [class_instances] (6) ?x_110 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_field ?x_111 ?x_112 | |
| [class_instances] (7) ?x_112 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_113 ?x_114 | |
| [class_instances] (8) ?x_114 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_110 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_field.to_field ?x_111 ?x_112 | |
| [class_instances] (7) ?x_112 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (7) ?x_112 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_discrete_field ?x_113 ?x_114 | |
| [class_instances] (8) ?x_114 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_108 : integral_domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_field.to_integral_domain ?x_109 ?x_110 ?x_111 | |
| [class_instances] (6) ?x_110 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (6) ?x_110 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_discrete_field ?x_112 ?x_113 | |
| [class_instances] (7) ?x_113 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_108 : integral_domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_comm_ring.to_integral_domain ?x_109 ?x_110 | |
| [class_instances] (6) ?x_110 : linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_111 ?x_112 | |
| [class_instances] (7) ?x_112 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_113 ?x_114 ?x_115 ?x_116 | |
| [class_instances] (7) ?x_112 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (7) ?x_112 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_113 ?x_114 | |
| [class_instances] (8) ?x_114 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_104 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.ring | |
| failed is_def_eq | |
| [class_instances] (3) ?x_104 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @division_ring.to_ring ?x_105 ?x_106 | |
| [class_instances] (4) ?x_106 : division_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @field.to_division_ring ?x_107 ?x_108 | |
| [class_instances] (5) ?x_108 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_field ?x_109 ?x_110 | |
| [class_instances] (6) ?x_110 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_111 ?x_112 | |
| [class_instances] (7) ?x_112 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_108 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_field.to_field ?x_109 ?x_110 | |
| [class_instances] (6) ?x_110 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (6) ?x_110 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_discrete_field ?x_111 ?x_112 | |
| [class_instances] (7) ?x_112 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_104 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @ordered_ring.to_ring ?x_105 ?x_106 | |
| [class_instances] (4) ?x_106 : ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @nonneg_ring.to_ordered_ring ?x_107 ?x_108 | |
| [class_instances] (5) ?x_108 : nonneg_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_nonneg_ring ?x_109 ?x_110 | |
| [class_instances] (4) ?x_106 : ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_ring.to_ordered_ring ?x_107 ?x_108 | |
| [class_instances] (5) ?x_108 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_linear_ordered_ring ?x_109 ?x_110 | |
| [class_instances] (5) ?x_108 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_linear_ordered_ring ?x_109 ?x_110 | |
| [class_instances] (6) ?x_110 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_111 ?x_112 | |
| [class_instances] (7) ?x_112 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_108 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_109 ?x_110 | |
| [class_instances] (6) ?x_110 : linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_111 ?x_112 | |
| [class_instances] (7) ?x_112 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_113 ?x_114 ?x_115 ?x_116 | |
| [class_instances] (7) ?x_112 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (7) ?x_112 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_113 ?x_114 | |
| [class_instances] (8) ?x_114 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_104 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @comm_ring.to_ring ?x_105 ?x_106 | |
| [class_instances] (4) ?x_106 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_106 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_5 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_106 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ring_hom.im.comm_ring ?x_107 ?x_108 ?x_109 ?x_110 ?x_111 ?x_112 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_106 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @subring.comm_ring ?x_113 ?x_114 ?x_115 ?x_116 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_106 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ideal.help ?x_117 ?x_118 ?x_119 ?x_120 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_106 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ideal.quotient.comm_ring ?x_121 ?x_122 ?x_123 ?x_124 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_106 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @quotient_ring.comm_ring ?x_125 ?x_126 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_106 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @at_prime.comm_ring ?x_127 ?x_128 ?x_129 ?x_130 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_106 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @away.comm_ring ?x_131 ?x_132 ?x_133 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_106 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @localization.comm_ring ?x_134 ?x_135 ?x_136 ?x_137 | |
| [class_instances] (5) ?x_135 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_135 : comm_ring R := _inst_5 | |
| [class_instances] (5) ?x_137 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @non_zero_divisors.is_submonoid ?x_138 ?x_139 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_137 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @prime.is_submonoid ?x_140 ?x_141 ?x_142 ?x_143 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_137 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @monoid.closure.is_submonoid ?x_144 ?x_145 ?x_146 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_137 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @powers.is_submonoid ?x_147 ?x_148 ?x_149 | |
| [class_instances] (6) ?x_148 : monoid R := @subtype.monoid ?x_150 ?x_151 ?x_152 ?x_153 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_148 : monoid R := @multiplicative.monoid ?x_154 ?x_155 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_148 : monoid R := int.monoid | |
| failed is_def_eq | |
| [class_instances] (6) ?x_148 : monoid R := nat.monoid | |
| failed is_def_eq | |
| [class_instances] (6) ?x_148 : monoid R := @ring.to_monoid ?x_156 ?x_157 | |
| [class_instances] (7) ?x_157 : ring R := @nonneg_ring.to_ring ?x_158 ?x_159 | |
| [class_instances] (8) ?x_159 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_160 ?x_161 | |
| [class_instances] (7) ?x_157 : ring R := @domain.to_ring ?x_158 ?x_159 | |
| [class_instances] (8) ?x_159 : domain R := @linear_nonneg_ring.to_domain ?x_160 ?x_161 | |
| [class_instances] (8) ?x_159 : domain R := @to_domain ?x_160 ?x_161 | |
| [class_instances] (9) ?x_161 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_162 ?x_163 | |
| [class_instances] (9) ?x_161 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_162 ?x_163 | |
| [class_instances] (10) ?x_163 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_164 ?x_165 | |
| [class_instances] (11) ?x_165 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (9) ?x_161 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_162 ?x_163 | |
| [class_instances] (10) ?x_163 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_164 ?x_165 | |
| [class_instances] (11) ?x_165 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_166 ?x_167 ?x_168 ?x_169 | |
| [class_instances] (11) ?x_165 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (11) ?x_165 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_166 ?x_167 | |
| [class_instances] (12) ?x_167 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (8) ?x_159 : domain R := @division_ring.to_domain ?x_160 ?x_161 | |
| [class_instances] (9) ?x_161 : division_ring R := @field.to_division_ring ?x_162 ?x_163 | |
| [class_instances] (10) ?x_163 : field R := @linear_ordered_field.to_field ?x_164 ?x_165 | |
| [class_instances] (11) ?x_165 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_166 ?x_167 | |
| [class_instances] (12) ?x_167 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (10) ?x_163 : field R := @discrete_field.to_field ?x_164 ?x_165 | |
| [class_instances] (11) ?x_165 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (11) ?x_165 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_166 ?x_167 | |
| [class_instances] (12) ?x_167 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (8) ?x_159 : domain R := @integral_domain.to_domain ?x_160 ?x_161 | |
| [class_instances] (9) ?x_161 : integral_domain R := @field.to_integral_domain ?x_162 ?x_163 | |
| [class_instances] (10) ?x_163 : field R := @linear_ordered_field.to_field ?x_164 ?x_165 | |
| [class_instances] (11) ?x_165 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_166 ?x_167 | |
| [class_instances] (12) ?x_167 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (10) ?x_163 : field R := @discrete_field.to_field ?x_164 ?x_165 | |
| [class_instances] (11) ?x_165 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (11) ?x_165 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_166 ?x_167 | |
| [class_instances] (12) ?x_167 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (9) ?x_161 : integral_domain R := @discrete_field.to_integral_domain ?x_162 ?x_163 ?x_164 | |
| [class_instances] (10) ?x_163 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (10) ?x_163 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_165 ?x_166 | |
| [class_instances] (11) ?x_166 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (9) ?x_161 : integral_domain R := @linear_ordered_comm_ring.to_integral_domain ?x_162 ?x_163 | |
| [class_instances] (10) ?x_163 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_164 ?x_165 | |
| [class_instances] (11) ?x_165 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_166 ?x_167 ?x_168 ?x_169 | |
| [class_instances] (11) ?x_165 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (11) ?x_165 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_166 ?x_167 | |
| [class_instances] (12) ?x_167 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_157 : ring R := int.ring | |
| failed is_def_eq | |
| [class_instances] (7) ?x_157 : ring R := @division_ring.to_ring ?x_158 ?x_159 | |
| [class_instances] (8) ?x_159 : division_ring R := @field.to_division_ring ?x_160 ?x_161 | |
| [class_instances] (9) ?x_161 : field R := @linear_ordered_field.to_field ?x_162 ?x_163 | |
| [class_instances] (10) ?x_163 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_164 ?x_165 | |
| [class_instances] (11) ?x_165 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (9) ?x_161 : field R := @discrete_field.to_field ?x_162 ?x_163 | |
| [class_instances] (10) ?x_163 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (10) ?x_163 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_164 ?x_165 | |
| [class_instances] (11) ?x_165 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_157 : ring R := @ordered_ring.to_ring ?x_158 ?x_159 | |
| [class_instances] (8) ?x_159 : ordered_ring R := @nonneg_ring.to_ordered_ring ?x_160 ?x_161 | |
| [class_instances] (9) ?x_161 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_162 ?x_163 | |
| [class_instances] (8) ?x_159 : ordered_ring R := @linear_ordered_ring.to_ordered_ring ?x_160 ?x_161 | |
| [class_instances] (9) ?x_161 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_162 ?x_163 | |
| [class_instances] (9) ?x_161 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_162 ?x_163 | |
| [class_instances] (10) ?x_163 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_164 ?x_165 | |
| [class_instances] (11) ?x_165 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (9) ?x_161 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_162 ?x_163 | |
| [class_instances] (10) ?x_163 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_164 ?x_165 | |
| [class_instances] (11) ?x_165 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_166 ?x_167 ?x_168 ?x_169 | |
| [class_instances] (11) ?x_165 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (11) ?x_165 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_166 ?x_167 | |
| [class_instances] (12) ?x_167 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_157 : ring R := @comm_ring.to_ring ?x_158 ?x_159 | |
| [class_instances] (8) ?x_159 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (8) ?x_159 : comm_ring R := _inst_5 | |
| localization_UMP.lean:315:0: information trace output | |
| [class_instances] class-instance resolution trace | |
| [class_instances] (0) ?x_0 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : comm_ring R := _inst_5 | |
| localization_UMP.lean:315:0: information trace output | |
| [class_instances] class-instance resolution trace | |
| [class_instances] (0) ?x_0 : @is_ring_hom | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) | |
| γ | |
| (@comm_ring.to_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _) | |
| (@localization.comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _)) | |
| (@comm_ring.to_ring γ _inst_6) | |
| (@away.extend_map_of_im_unit (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) γ | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| _inst_6 | |
| (@away.extend_map_of_im_unit R γ _inst_5 _inst_6 sγ _inst_7 f Hf) | |
| _ | |
| g | |
| Hg) := _inst_7 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : @is_ring_hom | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) | |
| γ | |
| (@comm_ring.to_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _) | |
| (@localization.comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _)) | |
| (@comm_ring.to_ring γ _inst_6) | |
| (@away.extend_map_of_im_unit (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) γ | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| _inst_6 | |
| (@away.extend_map_of_im_unit R γ _inst_5 _inst_6 sγ _inst_7 f Hf) | |
| _ | |
| g | |
| Hg) := @localize_superset.is_ring_hom ?x_1 ?x_2 ?x_3 ?x_4 ?x_5 ?x_6 ?x_7 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : @is_ring_hom | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) | |
| γ | |
| (@comm_ring.to_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _) | |
| (@localization.comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _)) | |
| (@comm_ring.to_ring γ _inst_6) | |
| (@away.extend_map_of_im_unit (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) γ | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| _inst_6 | |
| (@away.extend_map_of_im_unit R γ _inst_5 _inst_6 sγ _inst_7 f Hf) | |
| _ | |
| g | |
| Hg) := @away.extend_map_of_im_unit.is_ring_hom ?x_8 ?x_9 ?x_10 ?x_11 ?x_12 ?x_13 ?x_14 ?x_15 | |
| [class_instances] (1) ?x_10 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_10 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_5 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_10 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ring_hom.im.comm_ring ?x_16 ?x_17 ?x_18 ?x_19 ?x_20 ?x_21 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_10 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @subring.comm_ring ?x_22 ?x_23 ?x_24 ?x_25 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_10 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ideal.help ?x_26 ?x_27 ?x_28 ?x_29 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_10 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ideal.quotient.comm_ring ?x_30 ?x_31 ?x_32 ?x_33 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_10 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @quotient_ring.comm_ring ?x_34 ?x_35 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_10 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @at_prime.comm_ring ?x_36 ?x_37 ?x_38 ?x_39 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_10 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @away.comm_ring ?x_40 ?x_41 ?x_42 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_10 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @localization.comm_ring ?x_43 ?x_44 ?x_45 ?x_46 | |
| [class_instances] (2) ?x_44 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_44 : comm_ring R := _inst_5 | |
| [class_instances] (2) ?x_46 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @non_zero_divisors.is_submonoid ?x_47 ?x_48 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_46 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @prime.is_submonoid ?x_49 ?x_50 ?x_51 ?x_52 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_46 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @monoid.closure.is_submonoid ?x_53 ?x_54 ?x_55 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_46 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @powers.is_submonoid ?x_56 ?x_57 ?x_58 | |
| [class_instances] (3) ?x_57 : monoid R := @subtype.monoid ?x_59 ?x_60 ?x_61 ?x_62 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_57 : monoid R := @multiplicative.monoid ?x_63 ?x_64 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_57 : monoid R := int.monoid | |
| failed is_def_eq | |
| [class_instances] (3) ?x_57 : monoid R := nat.monoid | |
| failed is_def_eq | |
| [class_instances] (3) ?x_57 : monoid R := @ring.to_monoid ?x_65 ?x_66 | |
| [class_instances] (4) ?x_66 : ring R := @nonneg_ring.to_ring ?x_67 ?x_68 | |
| [class_instances] (5) ?x_68 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_69 ?x_70 | |
| [class_instances] (4) ?x_66 : ring R := @domain.to_ring ?x_67 ?x_68 | |
| [class_instances] (5) ?x_68 : domain R := @linear_nonneg_ring.to_domain ?x_69 ?x_70 | |
| [class_instances] (5) ?x_68 : domain R := @to_domain ?x_69 ?x_70 | |
| [class_instances] (6) ?x_70 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_71 ?x_72 | |
| [class_instances] (6) ?x_70 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_71 ?x_72 | |
| [class_instances] (7) ?x_72 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_73 ?x_74 | |
| [class_instances] (8) ?x_74 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_70 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_71 ?x_72 | |
| [class_instances] (7) ?x_72 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_73 ?x_74 | |
| [class_instances] (8) ?x_74 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_75 ?x_76 ?x_77 ?x_78 | |
| [class_instances] (8) ?x_74 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (8) ?x_74 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_75 ?x_76 | |
| [class_instances] (9) ?x_76 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_68 : domain R := @division_ring.to_domain ?x_69 ?x_70 | |
| [class_instances] (6) ?x_70 : division_ring R := @field.to_division_ring ?x_71 ?x_72 | |
| [class_instances] (7) ?x_72 : field R := @linear_ordered_field.to_field ?x_73 ?x_74 | |
| [class_instances] (8) ?x_74 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_75 ?x_76 | |
| [class_instances] (9) ?x_76 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_72 : field R := @discrete_field.to_field ?x_73 ?x_74 | |
| [class_instances] (8) ?x_74 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (8) ?x_74 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_75 ?x_76 | |
| [class_instances] (9) ?x_76 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_68 : domain R := @integral_domain.to_domain ?x_69 ?x_70 | |
| [class_instances] (6) ?x_70 : integral_domain R := @field.to_integral_domain ?x_71 ?x_72 | |
| [class_instances] (7) ?x_72 : field R := @linear_ordered_field.to_field ?x_73 ?x_74 | |
| [class_instances] (8) ?x_74 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_75 ?x_76 | |
| [class_instances] (9) ?x_76 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_72 : field R := @discrete_field.to_field ?x_73 ?x_74 | |
| [class_instances] (8) ?x_74 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (8) ?x_74 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_75 ?x_76 | |
| [class_instances] (9) ?x_76 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_70 : integral_domain R := @discrete_field.to_integral_domain ?x_71 ?x_72 ?x_73 | |
| [class_instances] (7) ?x_72 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (7) ?x_72 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_74 ?x_75 | |
| [class_instances] (8) ?x_75 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_70 : integral_domain R := @linear_ordered_comm_ring.to_integral_domain ?x_71 ?x_72 | |
| [class_instances] (7) ?x_72 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_73 ?x_74 | |
| [class_instances] (8) ?x_74 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_75 ?x_76 ?x_77 ?x_78 | |
| [class_instances] (8) ?x_74 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (8) ?x_74 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_75 ?x_76 | |
| [class_instances] (9) ?x_76 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_66 : ring R := int.ring | |
| failed is_def_eq | |
| [class_instances] (4) ?x_66 : ring R := @division_ring.to_ring ?x_67 ?x_68 | |
| [class_instances] (5) ?x_68 : division_ring R := @field.to_division_ring ?x_69 ?x_70 | |
| [class_instances] (6) ?x_70 : field R := @linear_ordered_field.to_field ?x_71 ?x_72 | |
| [class_instances] (7) ?x_72 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_73 ?x_74 | |
| [class_instances] (8) ?x_74 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_70 : field R := @discrete_field.to_field ?x_71 ?x_72 | |
| [class_instances] (7) ?x_72 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (7) ?x_72 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_73 ?x_74 | |
| [class_instances] (8) ?x_74 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_66 : ring R := @ordered_ring.to_ring ?x_67 ?x_68 | |
| [class_instances] (5) ?x_68 : ordered_ring R := @nonneg_ring.to_ordered_ring ?x_69 ?x_70 | |
| [class_instances] (6) ?x_70 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_71 ?x_72 | |
| [class_instances] (5) ?x_68 : ordered_ring R := @linear_ordered_ring.to_ordered_ring ?x_69 ?x_70 | |
| [class_instances] (6) ?x_70 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_71 ?x_72 | |
| [class_instances] (6) ?x_70 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_71 ?x_72 | |
| [class_instances] (7) ?x_72 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_73 ?x_74 | |
| [class_instances] (8) ?x_74 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_70 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_71 ?x_72 | |
| [class_instances] (7) ?x_72 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_73 ?x_74 | |
| [class_instances] (8) ?x_74 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_75 ?x_76 ?x_77 ?x_78 | |
| [class_instances] (8) ?x_74 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (8) ?x_74 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_75 ?x_76 | |
| [class_instances] (9) ?x_76 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_66 : ring R := @comm_ring.to_ring ?x_67 ?x_68 | |
| [class_instances] (5) ?x_68 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_68 : comm_ring R := _inst_5 | |
| [class_instances] (1) ?x_11 : comm_ring γ := _inst_6 | |
| [class_instances] (1) ?x_13 : @is_ring_hom (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) γ | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _)) | |
| (@comm_ring.to_ring γ _inst_6) | |
| (@away.extend_map_of_im_unit R γ _inst_5 _inst_6 sγ _inst_7 f Hf) := _inst_7 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_13 : @is_ring_hom (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) γ | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _)) | |
| (@comm_ring.to_ring γ _inst_6) | |
| (@away.extend_map_of_im_unit R γ _inst_5 _inst_6 sγ _inst_7 f Hf) := @localize_superset.is_ring_hom ?x_69 ?x_70 ?x_71 ?x_72 ?x_73 ?x_74 ?x_75 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_13 : @is_ring_hom (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) γ | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _)) | |
| (@comm_ring.to_ring γ _inst_6) | |
| (@away.extend_map_of_im_unit R γ _inst_5 _inst_6 sγ _inst_7 f Hf) := @away.extend_map_of_im_unit.is_ring_hom ?x_76 ?x_77 ?x_78 ?x_79 ?x_80 ?x_81 ?x_82 ?x_83 | |
| [class_instances] (2) ?x_78 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_78 : comm_ring R := _inst_5 | |
| [class_instances] (2) ?x_79 : comm_ring γ := _inst_6 | |
| [class_instances] (2) ?x_81 : @is_ring_hom R γ (@comm_ring.to_ring R _inst_5) (@comm_ring.to_ring γ _inst_6) sγ := _inst_7 | |
| localization_UMP.lean:315:0: information trace output | |
| [class_instances] class-instance resolution trace | |
| [class_instances] (0) ?x_0 : @is_ring_hom R γ (@comm_ring.to_ring R _inst_5) (@comm_ring.to_ring γ _inst_6) sγ := _inst_7 | |
| localization_UMP.lean:315:0: information trace output | |
| [class_instances] class-instance resolution trace | |
| [class_instances] (0) ?x_0 : @is_ring_hom R | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) | |
| (@comm_ring.to_ring R _inst_5) | |
| (@comm_ring.to_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _) | |
| (@localization.comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _)) | |
| (@of_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _ ∘ | |
| @of_comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_7 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : @is_ring_hom R | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) | |
| (@comm_ring.to_ring R _inst_5) | |
| (@comm_ring.to_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _) | |
| (@localization.comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _)) | |
| (@of_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _ ∘ | |
| @of_comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @localize_superset.is_ring_hom ?x_1 ?x_2 ?x_3 ?x_4 ?x_5 ?x_6 ?x_7 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : @is_ring_hom R | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) | |
| (@comm_ring.to_ring R _inst_5) | |
| (@comm_ring.to_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _) | |
| (@localization.comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _)) | |
| (@of_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _ ∘ | |
| @of_comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @away.extend_map_of_im_unit.is_ring_hom ?x_8 ?x_9 ?x_10 ?x_11 ?x_12 ?x_13 ?x_14 ?x_15 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : @is_ring_hom R | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) | |
| (@comm_ring.to_ring R _inst_5) | |
| (@comm_ring.to_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _) | |
| (@localization.comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _)) | |
| (@of_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _ ∘ | |
| @of_comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @extend_map_of_im_unit.is_ring_hom ?x_16 ?x_17 ?x_18 ?x_19 ?x_20 ?x_21 ?x_22 ?x_23 ?x_24 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : @is_ring_hom R | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) | |
| (@comm_ring.to_ring R _inst_5) | |
| (@comm_ring.to_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _) | |
| (@localization.comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _)) | |
| (@of_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _ ∘ | |
| @of_comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @localization.is_ring_hom ?x_25 ?x_26 ?x_27 ?x_28 | |
| failed is_def_eq | |
| [class_instances] (0) ?x_0 : @is_ring_hom R | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) | |
| (@comm_ring.to_ring R _inst_5) | |
| (@comm_ring.to_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _) | |
| (@localization.comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _)) | |
| (@of_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _ ∘ | |
| @of_comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ring_hom.comp ?x_29 ?x_30 ?x_31 ?x_32 ?x_33 ?x_34 ?x_35 ?x_36 ?x_37 ?x_38 | |
| [class_instances] (1) ?x_31 : ring R := @nonneg_ring.to_ring ?x_39 ?x_40 | |
| [class_instances] (2) ?x_40 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_41 ?x_42 | |
| [class_instances] (1) ?x_31 : ring R := @domain.to_ring ?x_39 ?x_40 | |
| [class_instances] (2) ?x_40 : domain R := @linear_nonneg_ring.to_domain ?x_41 ?x_42 | |
| [class_instances] (2) ?x_40 : domain R := @to_domain ?x_41 ?x_42 | |
| [class_instances] (3) ?x_42 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_43 ?x_44 | |
| [class_instances] (3) ?x_42 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_43 ?x_44 | |
| [class_instances] (4) ?x_44 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_45 ?x_46 | |
| [class_instances] (5) ?x_46 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_42 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_43 ?x_44 | |
| [class_instances] (4) ?x_44 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_45 ?x_46 | |
| [class_instances] (5) ?x_46 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_47 ?x_48 ?x_49 ?x_50 | |
| [class_instances] (5) ?x_46 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (5) ?x_46 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_47 ?x_48 | |
| [class_instances] (6) ?x_48 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (2) ?x_40 : domain R := @division_ring.to_domain ?x_41 ?x_42 | |
| [class_instances] (3) ?x_42 : division_ring R := @field.to_division_ring ?x_43 ?x_44 | |
| [class_instances] (4) ?x_44 : field R := @linear_ordered_field.to_field ?x_45 ?x_46 | |
| [class_instances] (5) ?x_46 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_47 ?x_48 | |
| [class_instances] (6) ?x_48 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_44 : field R := @discrete_field.to_field ?x_45 ?x_46 | |
| [class_instances] (5) ?x_46 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (5) ?x_46 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_47 ?x_48 | |
| [class_instances] (6) ?x_48 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (2) ?x_40 : domain R := @integral_domain.to_domain ?x_41 ?x_42 | |
| [class_instances] (3) ?x_42 : integral_domain R := @field.to_integral_domain ?x_43 ?x_44 | |
| [class_instances] (4) ?x_44 : field R := @linear_ordered_field.to_field ?x_45 ?x_46 | |
| [class_instances] (5) ?x_46 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_47 ?x_48 | |
| [class_instances] (6) ?x_48 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_44 : field R := @discrete_field.to_field ?x_45 ?x_46 | |
| [class_instances] (5) ?x_46 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (5) ?x_46 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_47 ?x_48 | |
| [class_instances] (6) ?x_48 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_42 : integral_domain R := @discrete_field.to_integral_domain ?x_43 ?x_44 ?x_45 | |
| [class_instances] (4) ?x_44 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (4) ?x_44 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_46 ?x_47 | |
| [class_instances] (5) ?x_47 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_42 : integral_domain R := @linear_ordered_comm_ring.to_integral_domain ?x_43 ?x_44 | |
| [class_instances] (4) ?x_44 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_45 ?x_46 | |
| [class_instances] (5) ?x_46 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_47 ?x_48 ?x_49 ?x_50 | |
| [class_instances] (5) ?x_46 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (5) ?x_46 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_47 ?x_48 | |
| [class_instances] (6) ?x_48 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (1) ?x_31 : ring R := int.ring | |
| failed is_def_eq | |
| [class_instances] (1) ?x_31 : ring R := @division_ring.to_ring ?x_39 ?x_40 | |
| [class_instances] (2) ?x_40 : division_ring R := @field.to_division_ring ?x_41 ?x_42 | |
| [class_instances] (3) ?x_42 : field R := @linear_ordered_field.to_field ?x_43 ?x_44 | |
| [class_instances] (4) ?x_44 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_45 ?x_46 | |
| [class_instances] (5) ?x_46 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_42 : field R := @discrete_field.to_field ?x_43 ?x_44 | |
| [class_instances] (4) ?x_44 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (4) ?x_44 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_45 ?x_46 | |
| [class_instances] (5) ?x_46 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (1) ?x_31 : ring R := @ordered_ring.to_ring ?x_39 ?x_40 | |
| [class_instances] (2) ?x_40 : ordered_ring R := @nonneg_ring.to_ordered_ring ?x_41 ?x_42 | |
| [class_instances] (3) ?x_42 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_43 ?x_44 | |
| [class_instances] (2) ?x_40 : ordered_ring R := @linear_ordered_ring.to_ordered_ring ?x_41 ?x_42 | |
| [class_instances] (3) ?x_42 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_43 ?x_44 | |
| [class_instances] (3) ?x_42 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_43 ?x_44 | |
| [class_instances] (4) ?x_44 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_45 ?x_46 | |
| [class_instances] (5) ?x_46 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_42 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_43 ?x_44 | |
| [class_instances] (4) ?x_44 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_45 ?x_46 | |
| [class_instances] (5) ?x_46 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_47 ?x_48 ?x_49 ?x_50 | |
| [class_instances] (5) ?x_46 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (5) ?x_46 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_47 ?x_48 | |
| [class_instances] (6) ?x_48 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (1) ?x_31 : ring R := @comm_ring.to_ring ?x_39 ?x_40 | |
| [class_instances] (2) ?x_40 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_40 : comm_ring R := _inst_5 | |
| [class_instances] (1) ?x_32 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @nonneg_ring.to_ring ?x_41 ?x_42 | |
| [class_instances] (2) ?x_42 : nonneg_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_nonneg_ring ?x_43 ?x_44 | |
| [class_instances] (1) ?x_32 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @domain.to_ring ?x_41 ?x_42 | |
| [class_instances] (2) ?x_42 : domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_domain ?x_43 ?x_44 | |
| [class_instances] (2) ?x_42 : domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @to_domain ?x_43 ?x_44 | |
| [class_instances] (3) ?x_44 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_linear_ordered_ring ?x_45 ?x_46 | |
| [class_instances] (3) ?x_44 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_linear_ordered_ring ?x_45 ?x_46 | |
| [class_instances] (4) ?x_46 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_47 ?x_48 | |
| [class_instances] (5) ?x_48 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_44 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_45 ?x_46 | |
| [class_instances] (4) ?x_46 : linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_47 ?x_48 | |
| [class_instances] (5) ?x_48 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_49 ?x_50 ?x_51 ?x_52 | |
| [class_instances] (5) ?x_48 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (5) ?x_48 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_49 ?x_50 | |
| [class_instances] (6) ?x_50 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (2) ?x_42 : domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @division_ring.to_domain ?x_43 ?x_44 | |
| [class_instances] (3) ?x_44 : division_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @field.to_division_ring ?x_45 ?x_46 | |
| [class_instances] (4) ?x_46 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_field ?x_47 ?x_48 | |
| [class_instances] (5) ?x_48 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_49 ?x_50 | |
| [class_instances] (6) ?x_50 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_46 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_field.to_field ?x_47 ?x_48 | |
| [class_instances] (5) ?x_48 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (5) ?x_48 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_discrete_field ?x_49 ?x_50 | |
| [class_instances] (6) ?x_50 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (2) ?x_42 : domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @integral_domain.to_domain ?x_43 ?x_44 | |
| [class_instances] (3) ?x_44 : integral_domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @field.to_integral_domain ?x_45 ?x_46 | |
| [class_instances] (4) ?x_46 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_field ?x_47 ?x_48 | |
| [class_instances] (5) ?x_48 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_49 ?x_50 | |
| [class_instances] (6) ?x_50 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_46 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_field.to_field ?x_47 ?x_48 | |
| [class_instances] (5) ?x_48 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (5) ?x_48 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_discrete_field ?x_49 ?x_50 | |
| [class_instances] (6) ?x_50 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_44 : integral_domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_field.to_integral_domain ?x_45 ?x_46 ?x_47 | |
| [class_instances] (4) ?x_46 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (4) ?x_46 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_discrete_field ?x_48 ?x_49 | |
| [class_instances] (5) ?x_49 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_44 : integral_domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_comm_ring.to_integral_domain ?x_45 ?x_46 | |
| [class_instances] (4) ?x_46 : linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_47 ?x_48 | |
| [class_instances] (5) ?x_48 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_49 ?x_50 ?x_51 ?x_52 | |
| [class_instances] (5) ?x_48 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (5) ?x_48 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_49 ?x_50 | |
| [class_instances] (6) ?x_50 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (1) ?x_32 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.ring | |
| failed is_def_eq | |
| [class_instances] (1) ?x_32 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @division_ring.to_ring ?x_41 ?x_42 | |
| [class_instances] (2) ?x_42 : division_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @field.to_division_ring ?x_43 ?x_44 | |
| [class_instances] (3) ?x_44 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_field ?x_45 ?x_46 | |
| [class_instances] (4) ?x_46 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_47 ?x_48 | |
| [class_instances] (5) ?x_48 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_44 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_field.to_field ?x_45 ?x_46 | |
| [class_instances] (4) ?x_46 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (4) ?x_46 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_discrete_field ?x_47 ?x_48 | |
| [class_instances] (5) ?x_48 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (1) ?x_32 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @ordered_ring.to_ring ?x_41 ?x_42 | |
| [class_instances] (2) ?x_42 : ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @nonneg_ring.to_ordered_ring ?x_43 ?x_44 | |
| [class_instances] (3) ?x_44 : nonneg_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_nonneg_ring ?x_45 ?x_46 | |
| [class_instances] (2) ?x_42 : ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_ring.to_ordered_ring ?x_43 ?x_44 | |
| [class_instances] (3) ?x_44 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_linear_ordered_ring ?x_45 ?x_46 | |
| [class_instances] (3) ?x_44 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_linear_ordered_ring ?x_45 ?x_46 | |
| [class_instances] (4) ?x_46 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_47 ?x_48 | |
| [class_instances] (5) ?x_48 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_44 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_45 ?x_46 | |
| [class_instances] (4) ?x_46 : linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_47 ?x_48 | |
| [class_instances] (5) ?x_48 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_49 ?x_50 ?x_51 ?x_52 | |
| [class_instances] (5) ?x_48 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (5) ?x_48 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_49 ?x_50 | |
| [class_instances] (6) ?x_50 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (1) ?x_32 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @comm_ring.to_ring ?x_41 ?x_42 | |
| [class_instances] (2) ?x_42 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_42 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_5 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_42 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ring_hom.im.comm_ring ?x_43 ?x_44 ?x_45 ?x_46 ?x_47 ?x_48 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_42 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @subring.comm_ring ?x_49 ?x_50 ?x_51 ?x_52 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_42 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ideal.help ?x_53 ?x_54 ?x_55 ?x_56 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_42 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ideal.quotient.comm_ring ?x_57 ?x_58 ?x_59 ?x_60 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_42 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @quotient_ring.comm_ring ?x_61 ?x_62 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_42 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @at_prime.comm_ring ?x_63 ?x_64 ?x_65 ?x_66 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_42 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @away.comm_ring ?x_67 ?x_68 ?x_69 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_42 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @localization.comm_ring ?x_70 ?x_71 ?x_72 ?x_73 | |
| [class_instances] (3) ?x_71 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_71 : comm_ring R := _inst_5 | |
| [class_instances] (3) ?x_73 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @non_zero_divisors.is_submonoid ?x_74 ?x_75 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_73 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @prime.is_submonoid ?x_76 ?x_77 ?x_78 ?x_79 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_73 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @monoid.closure.is_submonoid ?x_80 ?x_81 ?x_82 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_73 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @powers.is_submonoid ?x_83 ?x_84 ?x_85 | |
| [class_instances] (4) ?x_84 : monoid R := @subtype.monoid ?x_86 ?x_87 ?x_88 ?x_89 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_84 : monoid R := @multiplicative.monoid ?x_90 ?x_91 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_84 : monoid R := int.monoid | |
| failed is_def_eq | |
| [class_instances] (4) ?x_84 : monoid R := nat.monoid | |
| failed is_def_eq | |
| [class_instances] (4) ?x_84 : monoid R := @ring.to_monoid ?x_92 ?x_93 | |
| [class_instances] (5) ?x_93 : ring R := @nonneg_ring.to_ring ?x_94 ?x_95 | |
| [class_instances] (6) ?x_95 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_96 ?x_97 | |
| [class_instances] (5) ?x_93 : ring R := @domain.to_ring ?x_94 ?x_95 | |
| [class_instances] (6) ?x_95 : domain R := @linear_nonneg_ring.to_domain ?x_96 ?x_97 | |
| [class_instances] (6) ?x_95 : domain R := @to_domain ?x_96 ?x_97 | |
| [class_instances] (7) ?x_97 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_98 ?x_99 | |
| [class_instances] (7) ?x_97 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_98 ?x_99 | |
| [class_instances] (8) ?x_99 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_100 ?x_101 | |
| [class_instances] (9) ?x_101 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_97 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_98 ?x_99 | |
| [class_instances] (8) ?x_99 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_100 ?x_101 | |
| [class_instances] (9) ?x_101 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_102 ?x_103 ?x_104 ?x_105 | |
| [class_instances] (9) ?x_101 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (9) ?x_101 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_102 ?x_103 | |
| [class_instances] (10) ?x_103 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_95 : domain R := @division_ring.to_domain ?x_96 ?x_97 | |
| [class_instances] (7) ?x_97 : division_ring R := @field.to_division_ring ?x_98 ?x_99 | |
| [class_instances] (8) ?x_99 : field R := @linear_ordered_field.to_field ?x_100 ?x_101 | |
| [class_instances] (9) ?x_101 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_102 ?x_103 | |
| [class_instances] (10) ?x_103 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (8) ?x_99 : field R := @discrete_field.to_field ?x_100 ?x_101 | |
| [class_instances] (9) ?x_101 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (9) ?x_101 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_102 ?x_103 | |
| [class_instances] (10) ?x_103 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_95 : domain R := @integral_domain.to_domain ?x_96 ?x_97 | |
| [class_instances] (7) ?x_97 : integral_domain R := @field.to_integral_domain ?x_98 ?x_99 | |
| [class_instances] (8) ?x_99 : field R := @linear_ordered_field.to_field ?x_100 ?x_101 | |
| [class_instances] (9) ?x_101 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_102 ?x_103 | |
| [class_instances] (10) ?x_103 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (8) ?x_99 : field R := @discrete_field.to_field ?x_100 ?x_101 | |
| [class_instances] (9) ?x_101 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (9) ?x_101 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_102 ?x_103 | |
| [class_instances] (10) ?x_103 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_97 : integral_domain R := @discrete_field.to_integral_domain ?x_98 ?x_99 ?x_100 | |
| [class_instances] (8) ?x_99 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (8) ?x_99 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_101 ?x_102 | |
| [class_instances] (9) ?x_102 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_97 : integral_domain R := @linear_ordered_comm_ring.to_integral_domain ?x_98 ?x_99 | |
| [class_instances] (8) ?x_99 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_100 ?x_101 | |
| [class_instances] (9) ?x_101 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_102 ?x_103 ?x_104 ?x_105 | |
| [class_instances] (9) ?x_101 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (9) ?x_101 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_102 ?x_103 | |
| [class_instances] (10) ?x_103 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_93 : ring R := int.ring | |
| failed is_def_eq | |
| [class_instances] (5) ?x_93 : ring R := @division_ring.to_ring ?x_94 ?x_95 | |
| [class_instances] (6) ?x_95 : division_ring R := @field.to_division_ring ?x_96 ?x_97 | |
| [class_instances] (7) ?x_97 : field R := @linear_ordered_field.to_field ?x_98 ?x_99 | |
| [class_instances] (8) ?x_99 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_100 ?x_101 | |
| [class_instances] (9) ?x_101 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_97 : field R := @discrete_field.to_field ?x_98 ?x_99 | |
| [class_instances] (8) ?x_99 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (8) ?x_99 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_100 ?x_101 | |
| [class_instances] (9) ?x_101 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_93 : ring R := @ordered_ring.to_ring ?x_94 ?x_95 | |
| [class_instances] (6) ?x_95 : ordered_ring R := @nonneg_ring.to_ordered_ring ?x_96 ?x_97 | |
| [class_instances] (7) ?x_97 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_98 ?x_99 | |
| [class_instances] (6) ?x_95 : ordered_ring R := @linear_ordered_ring.to_ordered_ring ?x_96 ?x_97 | |
| [class_instances] (7) ?x_97 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_98 ?x_99 | |
| [class_instances] (7) ?x_97 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_98 ?x_99 | |
| [class_instances] (8) ?x_99 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_100 ?x_101 | |
| [class_instances] (9) ?x_101 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_97 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_98 ?x_99 | |
| [class_instances] (8) ?x_99 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_100 ?x_101 | |
| [class_instances] (9) ?x_101 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_102 ?x_103 ?x_104 ?x_105 | |
| [class_instances] (9) ?x_101 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (9) ?x_101 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_102 ?x_103 | |
| [class_instances] (10) ?x_103 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_93 : ring R := @comm_ring.to_ring ?x_94 ?x_95 | |
| [class_instances] (6) ?x_95 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_95 : comm_ring R := _inst_5 | |
| [class_instances] (1) ?x_34 : @is_ring_hom R (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring R _inst_5) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _)) | |
| (@of_comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_7 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_34 : @is_ring_hom R (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring R _inst_5) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _)) | |
| (@of_comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @localize_superset.is_ring_hom ?x_96 ?x_97 ?x_98 ?x_99 ?x_100 ?x_101 ?x_102 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_34 : @is_ring_hom R (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring R _inst_5) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _)) | |
| (@of_comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @away.extend_map_of_im_unit.is_ring_hom ?x_103 ?x_104 ?x_105 ?x_106 ?x_107 ?x_108 ?x_109 ?x_110 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_34 : @is_ring_hom R (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring R _inst_5) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _)) | |
| (@of_comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @extend_map_of_im_unit.is_ring_hom ?x_111 ?x_112 ?x_113 ?x_114 ?x_115 ?x_116 ?x_117 ?x_118 ?x_119 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_34 : @is_ring_hom R (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring R _inst_5) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _)) | |
| (@of_comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @localization.is_ring_hom ?x_120 ?x_121 ?x_122 ?x_123 | |
| [class_instances] (2) ?x_121 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_121 : comm_ring R := _inst_5 | |
| [class_instances] (2) ?x_123 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @non_zero_divisors.is_submonoid ?x_124 ?x_125 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_123 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @prime.is_submonoid ?x_126 ?x_127 ?x_128 ?x_129 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_123 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @monoid.closure.is_submonoid ?x_130 ?x_131 ?x_132 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_123 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @powers.is_submonoid ?x_133 ?x_134 ?x_135 | |
| [class_instances] (3) ?x_134 : monoid R := @subtype.monoid ?x_136 ?x_137 ?x_138 ?x_139 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_134 : monoid R := @multiplicative.monoid ?x_140 ?x_141 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_134 : monoid R := int.monoid | |
| failed is_def_eq | |
| [class_instances] (3) ?x_134 : monoid R := nat.monoid | |
| failed is_def_eq | |
| [class_instances] (3) ?x_134 : monoid R := @ring.to_monoid ?x_142 ?x_143 | |
| [class_instances] (4) ?x_143 : ring R := @nonneg_ring.to_ring ?x_144 ?x_145 | |
| [class_instances] (5) ?x_145 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_146 ?x_147 | |
| [class_instances] (4) ?x_143 : ring R := @domain.to_ring ?x_144 ?x_145 | |
| [class_instances] (5) ?x_145 : domain R := @linear_nonneg_ring.to_domain ?x_146 ?x_147 | |
| [class_instances] (5) ?x_145 : domain R := @to_domain ?x_146 ?x_147 | |
| [class_instances] (6) ?x_147 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_148 ?x_149 | |
| [class_instances] (6) ?x_147 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_148 ?x_149 | |
| [class_instances] (7) ?x_149 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_150 ?x_151 | |
| [class_instances] (8) ?x_151 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_147 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_148 ?x_149 | |
| [class_instances] (7) ?x_149 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_150 ?x_151 | |
| [class_instances] (8) ?x_151 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_152 ?x_153 ?x_154 ?x_155 | |
| [class_instances] (8) ?x_151 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (8) ?x_151 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_152 ?x_153 | |
| [class_instances] (9) ?x_153 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_145 : domain R := @division_ring.to_domain ?x_146 ?x_147 | |
| [class_instances] (6) ?x_147 : division_ring R := @field.to_division_ring ?x_148 ?x_149 | |
| [class_instances] (7) ?x_149 : field R := @linear_ordered_field.to_field ?x_150 ?x_151 | |
| [class_instances] (8) ?x_151 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_152 ?x_153 | |
| [class_instances] (9) ?x_153 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_149 : field R := @discrete_field.to_field ?x_150 ?x_151 | |
| [class_instances] (8) ?x_151 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (8) ?x_151 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_152 ?x_153 | |
| [class_instances] (9) ?x_153 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_145 : domain R := @integral_domain.to_domain ?x_146 ?x_147 | |
| [class_instances] (6) ?x_147 : integral_domain R := @field.to_integral_domain ?x_148 ?x_149 | |
| [class_instances] (7) ?x_149 : field R := @linear_ordered_field.to_field ?x_150 ?x_151 | |
| [class_instances] (8) ?x_151 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_152 ?x_153 | |
| [class_instances] (9) ?x_153 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_149 : field R := @discrete_field.to_field ?x_150 ?x_151 | |
| [class_instances] (8) ?x_151 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (8) ?x_151 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_152 ?x_153 | |
| [class_instances] (9) ?x_153 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_147 : integral_domain R := @discrete_field.to_integral_domain ?x_148 ?x_149 ?x_150 | |
| [class_instances] (7) ?x_149 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (7) ?x_149 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_151 ?x_152 | |
| [class_instances] (8) ?x_152 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_147 : integral_domain R := @linear_ordered_comm_ring.to_integral_domain ?x_148 ?x_149 | |
| [class_instances] (7) ?x_149 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_150 ?x_151 | |
| [class_instances] (8) ?x_151 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_152 ?x_153 ?x_154 ?x_155 | |
| [class_instances] (8) ?x_151 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (8) ?x_151 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_152 ?x_153 | |
| [class_instances] (9) ?x_153 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_143 : ring R := int.ring | |
| failed is_def_eq | |
| [class_instances] (4) ?x_143 : ring R := @division_ring.to_ring ?x_144 ?x_145 | |
| [class_instances] (5) ?x_145 : division_ring R := @field.to_division_ring ?x_146 ?x_147 | |
| [class_instances] (6) ?x_147 : field R := @linear_ordered_field.to_field ?x_148 ?x_149 | |
| [class_instances] (7) ?x_149 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_150 ?x_151 | |
| [class_instances] (8) ?x_151 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_147 : field R := @discrete_field.to_field ?x_148 ?x_149 | |
| [class_instances] (7) ?x_149 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (7) ?x_149 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_150 ?x_151 | |
| [class_instances] (8) ?x_151 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_143 : ring R := @ordered_ring.to_ring ?x_144 ?x_145 | |
| [class_instances] (5) ?x_145 : ordered_ring R := @nonneg_ring.to_ordered_ring ?x_146 ?x_147 | |
| [class_instances] (6) ?x_147 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_148 ?x_149 | |
| [class_instances] (5) ?x_145 : ordered_ring R := @linear_ordered_ring.to_ordered_ring ?x_146 ?x_147 | |
| [class_instances] (6) ?x_147 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_148 ?x_149 | |
| [class_instances] (6) ?x_147 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_148 ?x_149 | |
| [class_instances] (7) ?x_149 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_150 ?x_151 | |
| [class_instances] (8) ?x_151 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_147 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_148 ?x_149 | |
| [class_instances] (7) ?x_149 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_150 ?x_151 | |
| [class_instances] (8) ?x_151 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_152 ?x_153 ?x_154 ?x_155 | |
| [class_instances] (8) ?x_151 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (8) ?x_151 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_152 ?x_153 | |
| [class_instances] (9) ?x_153 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_143 : ring R := @comm_ring.to_ring ?x_144 ?x_145 | |
| [class_instances] (5) ?x_145 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_145 : comm_ring R := _inst_5 | |
| [class_instances] (1) ?x_36 : ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @nonneg_ring.to_ring ?x_146 ?x_147 | |
| [class_instances] (2) ?x_147 : nonneg_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_nonneg_ring.to_nonneg_ring ?x_148 ?x_149 | |
| [class_instances] (1) ?x_36 : ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @domain.to_ring ?x_146 ?x_147 | |
| [class_instances] (2) ?x_147 : domain | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_nonneg_ring.to_domain ?x_148 ?x_149 | |
| [class_instances] (2) ?x_147 : domain | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @to_domain ?x_148 ?x_149 | |
| [class_instances] (3) ?x_149 : linear_ordered_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_nonneg_ring.to_linear_ordered_ring ?x_150 ?x_151 | |
| [class_instances] (3) ?x_149 : linear_ordered_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_ordered_field.to_linear_ordered_ring ?x_150 ?x_151 | |
| [class_instances] (4) ?x_151 : linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_152 ?x_153 | |
| [class_instances] (5) ?x_153 : discrete_linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_149 : linear_ordered_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_150 ?x_151 | |
| [class_instances] (4) ?x_151 : linear_ordered_comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_152 ?x_153 | |
| [class_instances] (5) ?x_153 : decidable_linear_ordered_comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_154 ?x_155 ?x_156 ?x_157 | |
| [class_instances] (5) ?x_153 : decidable_linear_ordered_comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (5) ?x_153 : decidable_linear_ordered_comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_154 ?x_155 | |
| [class_instances] (6) ?x_155 : discrete_linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (2) ?x_147 : domain | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @division_ring.to_domain ?x_148 ?x_149 | |
| [class_instances] (3) ?x_149 : division_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @field.to_division_ring ?x_150 ?x_151 | |
| [class_instances] (4) ?x_151 : field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_ordered_field.to_field ?x_152 ?x_153 | |
| [class_instances] (5) ?x_153 : linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_154 ?x_155 | |
| [class_instances] (6) ?x_155 : discrete_linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_151 : field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @discrete_field.to_field ?x_152 ?x_153 | |
| [class_instances] (5) ?x_153 : discrete_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (5) ?x_153 : discrete_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @discrete_linear_ordered_field.to_discrete_field ?x_154 ?x_155 | |
| [class_instances] (6) ?x_155 : discrete_linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (2) ?x_147 : domain | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @integral_domain.to_domain ?x_148 ?x_149 | |
| [class_instances] (3) ?x_149 : integral_domain | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @field.to_integral_domain ?x_150 ?x_151 | |
| [class_instances] (4) ?x_151 : field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_ordered_field.to_field ?x_152 ?x_153 | |
| [class_instances] (5) ?x_153 : linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_154 ?x_155 | |
| [class_instances] (6) ?x_155 : discrete_linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_151 : field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @discrete_field.to_field ?x_152 ?x_153 | |
| [class_instances] (5) ?x_153 : discrete_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (5) ?x_153 : discrete_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @discrete_linear_ordered_field.to_discrete_field ?x_154 ?x_155 | |
| [class_instances] (6) ?x_155 : discrete_linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_149 : integral_domain | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @discrete_field.to_integral_domain ?x_150 ?x_151 ?x_152 | |
| [class_instances] (4) ?x_151 : discrete_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (4) ?x_151 : discrete_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @discrete_linear_ordered_field.to_discrete_field ?x_153 ?x_154 | |
| [class_instances] (5) ?x_154 : discrete_linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_149 : integral_domain | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_ordered_comm_ring.to_integral_domain ?x_150 ?x_151 | |
| [class_instances] (4) ?x_151 : linear_ordered_comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_152 ?x_153 | |
| [class_instances] (5) ?x_153 : decidable_linear_ordered_comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_154 ?x_155 ?x_156 ?x_157 | |
| [class_instances] (5) ?x_153 : decidable_linear_ordered_comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (5) ?x_153 : decidable_linear_ordered_comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_154 ?x_155 | |
| [class_instances] (6) ?x_155 : discrete_linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (1) ?x_36 : ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := int.ring | |
| failed is_def_eq | |
| [class_instances] (1) ?x_36 : ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @division_ring.to_ring ?x_146 ?x_147 | |
| [class_instances] (2) ?x_147 : division_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @field.to_division_ring ?x_148 ?x_149 | |
| [class_instances] (3) ?x_149 : field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_ordered_field.to_field ?x_150 ?x_151 | |
| [class_instances] (4) ?x_151 : linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_152 ?x_153 | |
| [class_instances] (5) ?x_153 : discrete_linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_149 : field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @discrete_field.to_field ?x_150 ?x_151 | |
| [class_instances] (4) ?x_151 : discrete_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (4) ?x_151 : discrete_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @discrete_linear_ordered_field.to_discrete_field ?x_152 ?x_153 | |
| [class_instances] (5) ?x_153 : discrete_linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (1) ?x_36 : ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @ordered_ring.to_ring ?x_146 ?x_147 | |
| [class_instances] (2) ?x_147 : ordered_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @nonneg_ring.to_ordered_ring ?x_148 ?x_149 | |
| [class_instances] (3) ?x_149 : nonneg_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_nonneg_ring.to_nonneg_ring ?x_150 ?x_151 | |
| [class_instances] (2) ?x_147 : ordered_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_ordered_ring.to_ordered_ring ?x_148 ?x_149 | |
| [class_instances] (3) ?x_149 : linear_ordered_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_nonneg_ring.to_linear_ordered_ring ?x_150 ?x_151 | |
| [class_instances] (3) ?x_149 : linear_ordered_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_ordered_field.to_linear_ordered_ring ?x_150 ?x_151 | |
| [class_instances] (4) ?x_151 : linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_152 ?x_153 | |
| [class_instances] (5) ?x_153 : discrete_linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (3) ?x_149 : linear_ordered_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_150 ?x_151 | |
| [class_instances] (4) ?x_151 : linear_ordered_comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_152 ?x_153 | |
| [class_instances] (5) ?x_153 : decidable_linear_ordered_comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_154 ?x_155 ?x_156 ?x_157 | |
| [class_instances] (5) ?x_153 : decidable_linear_ordered_comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (5) ?x_153 : decidable_linear_ordered_comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_154 ?x_155 | |
| [class_instances] (6) ?x_155 : discrete_linear_ordered_field | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (1) ?x_36 : ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @comm_ring.to_ring ?x_146 ?x_147 | |
| [class_instances] (2) ?x_147 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_147 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := _inst_5 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_147 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @is_ring_hom.im.comm_ring ?x_148 ?x_149 ?x_150 ?x_151 ?x_152 ?x_153 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_147 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @subring.comm_ring ?x_154 ?x_155 ?x_156 ?x_157 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_147 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @is_ideal.help ?x_158 ?x_159 ?x_160 ?x_161 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_147 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @is_ideal.quotient.comm_ring ?x_162 ?x_163 ?x_164 ?x_165 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_147 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @quotient_ring.comm_ring ?x_166 ?x_167 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_147 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @at_prime.comm_ring ?x_168 ?x_169 ?x_170 ?x_171 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_147 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @away.comm_ring ?x_172 ?x_173 ?x_174 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_147 : comm_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @localization.comm_ring ?x_175 ?x_176 ?x_177 ?x_178 | |
| [class_instances] (3) ?x_176 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_176 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_5 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_176 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ring_hom.im.comm_ring ?x_179 ?x_180 ?x_181 ?x_182 ?x_183 ?x_184 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_176 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @subring.comm_ring ?x_185 ?x_186 ?x_187 ?x_188 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_176 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ideal.help ?x_189 ?x_190 ?x_191 ?x_192 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_176 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ideal.quotient.comm_ring ?x_193 ?x_194 ?x_195 ?x_196 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_176 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @quotient_ring.comm_ring ?x_197 ?x_198 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_176 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @at_prime.comm_ring ?x_199 ?x_200 ?x_201 ?x_202 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_176 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @away.comm_ring ?x_203 ?x_204 ?x_205 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_176 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @localization.comm_ring ?x_206 ?x_207 ?x_208 ?x_209 | |
| [class_instances] (4) ?x_207 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_207 : comm_ring R := _inst_5 | |
| [class_instances] (4) ?x_209 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @non_zero_divisors.is_submonoid ?x_210 ?x_211 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_209 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @prime.is_submonoid ?x_212 ?x_213 ?x_214 ?x_215 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_209 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @monoid.closure.is_submonoid ?x_216 ?x_217 ?x_218 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_209 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @powers.is_submonoid ?x_219 ?x_220 ?x_221 | |
| [class_instances] (5) ?x_220 : monoid R := @subtype.monoid ?x_222 ?x_223 ?x_224 ?x_225 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_220 : monoid R := @multiplicative.monoid ?x_226 ?x_227 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_220 : monoid R := int.monoid | |
| failed is_def_eq | |
| [class_instances] (5) ?x_220 : monoid R := nat.monoid | |
| failed is_def_eq | |
| [class_instances] (5) ?x_220 : monoid R := @ring.to_monoid ?x_228 ?x_229 | |
| [class_instances] (6) ?x_229 : ring R := @nonneg_ring.to_ring ?x_230 ?x_231 | |
| [class_instances] (7) ?x_231 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_232 ?x_233 | |
| [class_instances] (6) ?x_229 : ring R := @domain.to_ring ?x_230 ?x_231 | |
| [class_instances] (7) ?x_231 : domain R := @linear_nonneg_ring.to_domain ?x_232 ?x_233 | |
| [class_instances] (7) ?x_231 : domain R := @to_domain ?x_232 ?x_233 | |
| [class_instances] (8) ?x_233 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_234 ?x_235 | |
| [class_instances] (8) ?x_233 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_234 ?x_235 | |
| [class_instances] (9) ?x_235 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_236 ?x_237 | |
| [class_instances] (10) ?x_237 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (8) ?x_233 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_234 ?x_235 | |
| [class_instances] (9) ?x_235 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_236 ?x_237 | |
| [class_instances] (10) ?x_237 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_238 ?x_239 ?x_240 ?x_241 | |
| [class_instances] (10) ?x_237 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (10) ?x_237 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_238 ?x_239 | |
| [class_instances] (11) ?x_239 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_231 : domain R := @division_ring.to_domain ?x_232 ?x_233 | |
| [class_instances] (8) ?x_233 : division_ring R := @field.to_division_ring ?x_234 ?x_235 | |
| [class_instances] (9) ?x_235 : field R := @linear_ordered_field.to_field ?x_236 ?x_237 | |
| [class_instances] (10) ?x_237 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_238 ?x_239 | |
| [class_instances] (11) ?x_239 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (9) ?x_235 : field R := @discrete_field.to_field ?x_236 ?x_237 | |
| [class_instances] (10) ?x_237 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (10) ?x_237 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_238 ?x_239 | |
| [class_instances] (11) ?x_239 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_231 : domain R := @integral_domain.to_domain ?x_232 ?x_233 | |
| [class_instances] (8) ?x_233 : integral_domain R := @field.to_integral_domain ?x_234 ?x_235 | |
| [class_instances] (9) ?x_235 : field R := @linear_ordered_field.to_field ?x_236 ?x_237 | |
| [class_instances] (10) ?x_237 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_238 ?x_239 | |
| [class_instances] (11) ?x_239 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (9) ?x_235 : field R := @discrete_field.to_field ?x_236 ?x_237 | |
| [class_instances] (10) ?x_237 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (10) ?x_237 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_238 ?x_239 | |
| [class_instances] (11) ?x_239 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (8) ?x_233 : integral_domain R := @discrete_field.to_integral_domain ?x_234 ?x_235 ?x_236 | |
| [class_instances] (9) ?x_235 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (9) ?x_235 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_237 ?x_238 | |
| [class_instances] (10) ?x_238 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (8) ?x_233 : integral_domain R := @linear_ordered_comm_ring.to_integral_domain ?x_234 ?x_235 | |
| [class_instances] (9) ?x_235 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_236 ?x_237 | |
| [class_instances] (10) ?x_237 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_238 ?x_239 ?x_240 ?x_241 | |
| [class_instances] (10) ?x_237 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (10) ?x_237 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_238 ?x_239 | |
| [class_instances] (11) ?x_239 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_229 : ring R := int.ring | |
| failed is_def_eq | |
| [class_instances] (6) ?x_229 : ring R := @division_ring.to_ring ?x_230 ?x_231 | |
| [class_instances] (7) ?x_231 : division_ring R := @field.to_division_ring ?x_232 ?x_233 | |
| [class_instances] (8) ?x_233 : field R := @linear_ordered_field.to_field ?x_234 ?x_235 | |
| [class_instances] (9) ?x_235 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_236 ?x_237 | |
| [class_instances] (10) ?x_237 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (8) ?x_233 : field R := @discrete_field.to_field ?x_234 ?x_235 | |
| [class_instances] (9) ?x_235 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (9) ?x_235 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_236 ?x_237 | |
| [class_instances] (10) ?x_237 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_229 : ring R := @ordered_ring.to_ring ?x_230 ?x_231 | |
| [class_instances] (7) ?x_231 : ordered_ring R := @nonneg_ring.to_ordered_ring ?x_232 ?x_233 | |
| [class_instances] (8) ?x_233 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_234 ?x_235 | |
| [class_instances] (7) ?x_231 : ordered_ring R := @linear_ordered_ring.to_ordered_ring ?x_232 ?x_233 | |
| [class_instances] (8) ?x_233 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_234 ?x_235 | |
| [class_instances] (8) ?x_233 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_234 ?x_235 | |
| [class_instances] (9) ?x_235 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_236 ?x_237 | |
| [class_instances] (10) ?x_237 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (8) ?x_233 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_234 ?x_235 | |
| [class_instances] (9) ?x_235 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_236 ?x_237 | |
| [class_instances] (10) ?x_237 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_238 ?x_239 ?x_240 ?x_241 | |
| [class_instances] (10) ?x_237 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (10) ?x_237 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_238 ?x_239 | |
| [class_instances] (11) ?x_239 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_229 : ring R := @comm_ring.to_ring ?x_230 ?x_231 | |
| [class_instances] (7) ?x_231 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (7) ?x_231 : comm_ring R := _inst_5 | |
| [class_instances] (3) ?x_178 : @is_submonoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) := @non_zero_divisors.is_submonoid ?x_232 ?x_233 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_178 : @is_submonoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) := @prime.is_submonoid ?x_234 ?x_235 ?x_236 ?x_237 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_178 : @is_submonoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) := @monoid.closure.is_submonoid ?x_238 ?x_239 ?x_240 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_178 : @is_submonoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) := @powers.is_submonoid ?x_241 ?x_242 ?x_243 | |
| [class_instances] (4) ?x_242 : monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @subtype.monoid ?x_244 ?x_245 ?x_246 ?x_247 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_242 : monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @multiplicative.monoid ?x_248 ?x_249 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_242 : monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.monoid | |
| failed is_def_eq | |
| [class_instances] (4) ?x_242 : monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := nat.monoid | |
| failed is_def_eq | |
| [class_instances] (4) ?x_242 : monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @ring.to_monoid ?x_250 ?x_251 | |
| [class_instances] (5) ?x_251 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @nonneg_ring.to_ring ?x_252 ?x_253 | |
| [class_instances] (6) ?x_253 : nonneg_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_nonneg_ring ?x_254 ?x_255 | |
| [class_instances] (5) ?x_251 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @domain.to_ring ?x_252 ?x_253 | |
| [class_instances] (6) ?x_253 : domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_domain ?x_254 ?x_255 | |
| [class_instances] (6) ?x_253 : domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @to_domain ?x_254 ?x_255 | |
| [class_instances] (7) ?x_255 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_linear_ordered_ring ?x_256 ?x_257 | |
| [class_instances] (7) ?x_255 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_linear_ordered_ring ?x_256 ?x_257 | |
| [class_instances] (8) ?x_257 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_258 ?x_259 | |
| [class_instances] (9) ?x_259 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_255 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_256 ?x_257 | |
| [class_instances] (8) ?x_257 : linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_258 ?x_259 | |
| [class_instances] (9) ?x_259 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_260 ?x_261 ?x_262 ?x_263 | |
| [class_instances] (9) ?x_259 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (9) ?x_259 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_260 ?x_261 | |
| [class_instances] (10) ?x_261 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_253 : domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @division_ring.to_domain ?x_254 ?x_255 | |
| [class_instances] (7) ?x_255 : division_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @field.to_division_ring ?x_256 ?x_257 | |
| [class_instances] (8) ?x_257 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_field ?x_258 ?x_259 | |
| [class_instances] (9) ?x_259 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_260 ?x_261 | |
| [class_instances] (10) ?x_261 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (8) ?x_257 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_field.to_field ?x_258 ?x_259 | |
| [class_instances] (9) ?x_259 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (9) ?x_259 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_discrete_field ?x_260 ?x_261 | |
| [class_instances] (10) ?x_261 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_253 : domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @integral_domain.to_domain ?x_254 ?x_255 | |
| [class_instances] (7) ?x_255 : integral_domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @field.to_integral_domain ?x_256 ?x_257 | |
| [class_instances] (8) ?x_257 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_field ?x_258 ?x_259 | |
| [class_instances] (9) ?x_259 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_260 ?x_261 | |
| [class_instances] (10) ?x_261 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (8) ?x_257 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_field.to_field ?x_258 ?x_259 | |
| [class_instances] (9) ?x_259 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (9) ?x_259 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_discrete_field ?x_260 ?x_261 | |
| [class_instances] (10) ?x_261 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_255 : integral_domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_field.to_integral_domain ?x_256 ?x_257 ?x_258 | |
| [class_instances] (8) ?x_257 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (8) ?x_257 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_discrete_field ?x_259 ?x_260 | |
| [class_instances] (9) ?x_260 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_255 : integral_domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_comm_ring.to_integral_domain ?x_256 ?x_257 | |
| [class_instances] (8) ?x_257 : linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_258 ?x_259 | |
| [class_instances] (9) ?x_259 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_260 ?x_261 ?x_262 ?x_263 | |
| [class_instances] (9) ?x_259 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (9) ?x_259 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_260 ?x_261 | |
| [class_instances] (10) ?x_261 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_251 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.ring | |
| failed is_def_eq | |
| [class_instances] (5) ?x_251 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @division_ring.to_ring ?x_252 ?x_253 | |
| [class_instances] (6) ?x_253 : division_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @field.to_division_ring ?x_254 ?x_255 | |
| [class_instances] (7) ?x_255 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_field ?x_256 ?x_257 | |
| [class_instances] (8) ?x_257 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_258 ?x_259 | |
| [class_instances] (9) ?x_259 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_255 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_field.to_field ?x_256 ?x_257 | |
| [class_instances] (8) ?x_257 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (8) ?x_257 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_discrete_field ?x_258 ?x_259 | |
| [class_instances] (9) ?x_259 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_251 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @ordered_ring.to_ring ?x_252 ?x_253 | |
| [class_instances] (6) ?x_253 : ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @nonneg_ring.to_ordered_ring ?x_254 ?x_255 | |
| [class_instances] (7) ?x_255 : nonneg_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_nonneg_ring ?x_256 ?x_257 | |
| [class_instances] (6) ?x_253 : ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_ring.to_ordered_ring ?x_254 ?x_255 | |
| [class_instances] (7) ?x_255 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_linear_ordered_ring ?x_256 ?x_257 | |
| [class_instances] (7) ?x_255 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_linear_ordered_ring ?x_256 ?x_257 | |
| [class_instances] (8) ?x_257 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_258 ?x_259 | |
| [class_instances] (9) ?x_259 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_255 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_256 ?x_257 | |
| [class_instances] (8) ?x_257 : linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_258 ?x_259 | |
| [class_instances] (9) ?x_259 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_260 ?x_261 ?x_262 ?x_263 | |
| [class_instances] (9) ?x_259 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (9) ?x_259 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_260 ?x_261 | |
| [class_instances] (10) ?x_261 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_251 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @comm_ring.to_ring ?x_252 ?x_253 | |
| [class_instances] (6) ?x_253 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_253 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_5 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_253 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ring_hom.im.comm_ring ?x_254 ?x_255 ?x_256 ?x_257 ?x_258 ?x_259 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_253 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @subring.comm_ring ?x_260 ?x_261 ?x_262 ?x_263 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_253 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ideal.help ?x_264 ?x_265 ?x_266 ?x_267 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_253 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ideal.quotient.comm_ring ?x_268 ?x_269 ?x_270 ?x_271 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_253 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @quotient_ring.comm_ring ?x_272 ?x_273 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_253 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @at_prime.comm_ring ?x_274 ?x_275 ?x_276 ?x_277 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_253 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @away.comm_ring ?x_278 ?x_279 ?x_280 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_253 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @localization.comm_ring ?x_281 ?x_282 ?x_283 ?x_284 | |
| [class_instances] (7) ?x_282 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (7) ?x_282 : comm_ring R := _inst_5 | |
| [class_instances] (7) ?x_284 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @non_zero_divisors.is_submonoid ?x_285 ?x_286 | |
| failed is_def_eq | |
| [class_instances] (7) ?x_284 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @prime.is_submonoid ?x_287 ?x_288 ?x_289 ?x_290 | |
| failed is_def_eq | |
| [class_instances] (7) ?x_284 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @monoid.closure.is_submonoid ?x_291 ?x_292 ?x_293 | |
| failed is_def_eq | |
| [class_instances] (7) ?x_284 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @powers.is_submonoid ?x_294 ?x_295 ?x_296 | |
| [class_instances] (8) ?x_295 : monoid R := @subtype.monoid ?x_297 ?x_298 ?x_299 ?x_300 | |
| failed is_def_eq | |
| [class_instances] (8) ?x_295 : monoid R := @multiplicative.monoid ?x_301 ?x_302 | |
| failed is_def_eq | |
| [class_instances] (8) ?x_295 : monoid R := int.monoid | |
| failed is_def_eq | |
| [class_instances] (8) ?x_295 : monoid R := nat.monoid | |
| failed is_def_eq | |
| [class_instances] (8) ?x_295 : monoid R := @ring.to_monoid ?x_303 ?x_304 | |
| [class_instances] (9) ?x_304 : ring R := @nonneg_ring.to_ring ?x_305 ?x_306 | |
| [class_instances] (10) ?x_306 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_307 ?x_308 | |
| [class_instances] (9) ?x_304 : ring R := @domain.to_ring ?x_305 ?x_306 | |
| [class_instances] (10) ?x_306 : domain R := @linear_nonneg_ring.to_domain ?x_307 ?x_308 | |
| [class_instances] (10) ?x_306 : domain R := @to_domain ?x_307 ?x_308 | |
| [class_instances] (11) ?x_308 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_309 ?x_310 | |
| [class_instances] (11) ?x_308 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_309 ?x_310 | |
| [class_instances] (12) ?x_310 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_311 ?x_312 | |
| [class_instances] (13) ?x_312 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (11) ?x_308 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_309 ?x_310 | |
| [class_instances] (12) ?x_310 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_311 ?x_312 | |
| [class_instances] (13) ?x_312 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_313 ?x_314 ?x_315 ?x_316 | |
| [class_instances] (13) ?x_312 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (13) ?x_312 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_313 ?x_314 | |
| [class_instances] (14) ?x_314 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (10) ?x_306 : domain R := @division_ring.to_domain ?x_307 ?x_308 | |
| [class_instances] (11) ?x_308 : division_ring R := @field.to_division_ring ?x_309 ?x_310 | |
| [class_instances] (12) ?x_310 : field R := @linear_ordered_field.to_field ?x_311 ?x_312 | |
| [class_instances] (13) ?x_312 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_313 ?x_314 | |
| [class_instances] (14) ?x_314 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (12) ?x_310 : field R := @discrete_field.to_field ?x_311 ?x_312 | |
| [class_instances] (13) ?x_312 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (13) ?x_312 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_313 ?x_314 | |
| [class_instances] (14) ?x_314 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (10) ?x_306 : domain R := @integral_domain.to_domain ?x_307 ?x_308 | |
| [class_instances] (11) ?x_308 : integral_domain R := @field.to_integral_domain ?x_309 ?x_310 | |
| [class_instances] (12) ?x_310 : field R := @linear_ordered_field.to_field ?x_311 ?x_312 | |
| [class_instances] (13) ?x_312 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_313 ?x_314 | |
| [class_instances] (14) ?x_314 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (12) ?x_310 : field R := @discrete_field.to_field ?x_311 ?x_312 | |
| [class_instances] (13) ?x_312 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (13) ?x_312 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_313 ?x_314 | |
| [class_instances] (14) ?x_314 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (11) ?x_308 : integral_domain R := @discrete_field.to_integral_domain ?x_309 ?x_310 ?x_311 | |
| [class_instances] (12) ?x_310 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (12) ?x_310 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_312 ?x_313 | |
| [class_instances] (13) ?x_313 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (11) ?x_308 : integral_domain R := @linear_ordered_comm_ring.to_integral_domain ?x_309 ?x_310 | |
| [class_instances] (12) ?x_310 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_311 ?x_312 | |
| [class_instances] (13) ?x_312 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_313 ?x_314 ?x_315 ?x_316 | |
| [class_instances] (13) ?x_312 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (13) ?x_312 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_313 ?x_314 | |
| [class_instances] (14) ?x_314 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (9) ?x_304 : ring R := int.ring | |
| failed is_def_eq | |
| [class_instances] (9) ?x_304 : ring R := @division_ring.to_ring ?x_305 ?x_306 | |
| [class_instances] (10) ?x_306 : division_ring R := @field.to_division_ring ?x_307 ?x_308 | |
| [class_instances] (11) ?x_308 : field R := @linear_ordered_field.to_field ?x_309 ?x_310 | |
| [class_instances] (12) ?x_310 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_311 ?x_312 | |
| [class_instances] (13) ?x_312 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (11) ?x_308 : field R := @discrete_field.to_field ?x_309 ?x_310 | |
| [class_instances] (12) ?x_310 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (12) ?x_310 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_311 ?x_312 | |
| [class_instances] (13) ?x_312 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (9) ?x_304 : ring R := @ordered_ring.to_ring ?x_305 ?x_306 | |
| [class_instances] (10) ?x_306 : ordered_ring R := @nonneg_ring.to_ordered_ring ?x_307 ?x_308 | |
| [class_instances] (11) ?x_308 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_309 ?x_310 | |
| [class_instances] (10) ?x_306 : ordered_ring R := @linear_ordered_ring.to_ordered_ring ?x_307 ?x_308 | |
| [class_instances] (11) ?x_308 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_309 ?x_310 | |
| [class_instances] (11) ?x_308 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_309 ?x_310 | |
| [class_instances] (12) ?x_310 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_311 ?x_312 | |
| [class_instances] (13) ?x_312 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (11) ?x_308 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_309 ?x_310 | |
| [class_instances] (12) ?x_310 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_311 ?x_312 | |
| [class_instances] (13) ?x_312 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_313 ?x_314 ?x_315 ?x_316 | |
| [class_instances] (13) ?x_312 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (13) ?x_312 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_313 ?x_314 | |
| [class_instances] (14) ?x_314 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (9) ?x_304 : ring R := @comm_ring.to_ring ?x_305 ?x_306 | |
| [class_instances] (10) ?x_306 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (10) ?x_306 : comm_ring R := _inst_5 | |
| [class_instances] (1) ?x_38 : @is_ring_hom (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _)) | |
| (@comm_ring.to_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _) | |
| (@localization.comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _)) | |
| (@of_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := _inst_7 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_38 : @is_ring_hom (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _)) | |
| (@comm_ring.to_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _) | |
| (@localization.comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _)) | |
| (@of_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @localize_superset.is_ring_hom ?x_307 ?x_308 ?x_309 ?x_310 ?x_311 ?x_312 ?x_313 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_38 : @is_ring_hom (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _)) | |
| (@comm_ring.to_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _) | |
| (@localization.comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _)) | |
| (@of_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @away.extend_map_of_im_unit.is_ring_hom ?x_314 ?x_315 ?x_316 ?x_317 ?x_318 ?x_319 ?x_320 ?x_321 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_38 : @is_ring_hom (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _)) | |
| (@comm_ring.to_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _) | |
| (@localization.comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _)) | |
| (@of_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @extend_map_of_im_unit.is_ring_hom ?x_322 ?x_323 ?x_324 ?x_325 ?x_326 ?x_327 ?x_328 ?x_329 ?x_330 | |
| failed is_def_eq | |
| [class_instances] (1) ?x_38 : @is_ring_hom (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _)) | |
| (@comm_ring.to_ring | |
| (@loc (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _) | |
| (@localization.comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) | |
| _))) | |
| g) | |
| _)) | |
| (@of_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) | |
| _) := @localization.is_ring_hom ?x_331 ?x_332 ?x_333 ?x_334 | |
| [class_instances] (2) ?x_332 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_332 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_5 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_332 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ring_hom.im.comm_ring ?x_335 ?x_336 ?x_337 ?x_338 ?x_339 ?x_340 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_332 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @subring.comm_ring ?x_341 ?x_342 ?x_343 ?x_344 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_332 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ideal.help ?x_345 ?x_346 ?x_347 ?x_348 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_332 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ideal.quotient.comm_ring ?x_349 ?x_350 ?x_351 ?x_352 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_332 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @quotient_ring.comm_ring ?x_353 ?x_354 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_332 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @at_prime.comm_ring ?x_355 ?x_356 ?x_357 ?x_358 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_332 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @away.comm_ring ?x_359 ?x_360 ?x_361 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_332 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @localization.comm_ring ?x_362 ?x_363 ?x_364 ?x_365 | |
| [class_instances] (3) ?x_363 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_363 : comm_ring R := _inst_5 | |
| [class_instances] (3) ?x_365 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @non_zero_divisors.is_submonoid ?x_366 ?x_367 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_365 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @prime.is_submonoid ?x_368 ?x_369 ?x_370 ?x_371 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_365 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @monoid.closure.is_submonoid ?x_372 ?x_373 ?x_374 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_365 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @powers.is_submonoid ?x_375 ?x_376 ?x_377 | |
| [class_instances] (4) ?x_376 : monoid R := @subtype.monoid ?x_378 ?x_379 ?x_380 ?x_381 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_376 : monoid R := @multiplicative.monoid ?x_382 ?x_383 | |
| failed is_def_eq | |
| [class_instances] (4) ?x_376 : monoid R := int.monoid | |
| failed is_def_eq | |
| [class_instances] (4) ?x_376 : monoid R := nat.monoid | |
| failed is_def_eq | |
| [class_instances] (4) ?x_376 : monoid R := @ring.to_monoid ?x_384 ?x_385 | |
| [class_instances] (5) ?x_385 : ring R := @nonneg_ring.to_ring ?x_386 ?x_387 | |
| [class_instances] (6) ?x_387 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_388 ?x_389 | |
| [class_instances] (5) ?x_385 : ring R := @domain.to_ring ?x_386 ?x_387 | |
| [class_instances] (6) ?x_387 : domain R := @linear_nonneg_ring.to_domain ?x_388 ?x_389 | |
| [class_instances] (6) ?x_387 : domain R := @to_domain ?x_388 ?x_389 | |
| [class_instances] (7) ?x_389 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_390 ?x_391 | |
| [class_instances] (7) ?x_389 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_390 ?x_391 | |
| [class_instances] (8) ?x_391 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_392 ?x_393 | |
| [class_instances] (9) ?x_393 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_389 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_390 ?x_391 | |
| [class_instances] (8) ?x_391 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_392 ?x_393 | |
| [class_instances] (9) ?x_393 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_394 ?x_395 ?x_396 ?x_397 | |
| [class_instances] (9) ?x_393 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (9) ?x_393 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_394 ?x_395 | |
| [class_instances] (10) ?x_395 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_387 : domain R := @division_ring.to_domain ?x_388 ?x_389 | |
| [class_instances] (7) ?x_389 : division_ring R := @field.to_division_ring ?x_390 ?x_391 | |
| [class_instances] (8) ?x_391 : field R := @linear_ordered_field.to_field ?x_392 ?x_393 | |
| [class_instances] (9) ?x_393 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_394 ?x_395 | |
| [class_instances] (10) ?x_395 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (8) ?x_391 : field R := @discrete_field.to_field ?x_392 ?x_393 | |
| [class_instances] (9) ?x_393 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (9) ?x_393 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_394 ?x_395 | |
| [class_instances] (10) ?x_395 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_387 : domain R := @integral_domain.to_domain ?x_388 ?x_389 | |
| [class_instances] (7) ?x_389 : integral_domain R := @field.to_integral_domain ?x_390 ?x_391 | |
| [class_instances] (8) ?x_391 : field R := @linear_ordered_field.to_field ?x_392 ?x_393 | |
| [class_instances] (9) ?x_393 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_394 ?x_395 | |
| [class_instances] (10) ?x_395 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (8) ?x_391 : field R := @discrete_field.to_field ?x_392 ?x_393 | |
| [class_instances] (9) ?x_393 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (9) ?x_393 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_394 ?x_395 | |
| [class_instances] (10) ?x_395 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_389 : integral_domain R := @discrete_field.to_integral_domain ?x_390 ?x_391 ?x_392 | |
| [class_instances] (8) ?x_391 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (8) ?x_391 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_393 ?x_394 | |
| [class_instances] (9) ?x_394 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_389 : integral_domain R := @linear_ordered_comm_ring.to_integral_domain ?x_390 ?x_391 | |
| [class_instances] (8) ?x_391 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_392 ?x_393 | |
| [class_instances] (9) ?x_393 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_394 ?x_395 ?x_396 ?x_397 | |
| [class_instances] (9) ?x_393 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (9) ?x_393 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_394 ?x_395 | |
| [class_instances] (10) ?x_395 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_385 : ring R := int.ring | |
| failed is_def_eq | |
| [class_instances] (5) ?x_385 : ring R := @division_ring.to_ring ?x_386 ?x_387 | |
| [class_instances] (6) ?x_387 : division_ring R := @field.to_division_ring ?x_388 ?x_389 | |
| [class_instances] (7) ?x_389 : field R := @linear_ordered_field.to_field ?x_390 ?x_391 | |
| [class_instances] (8) ?x_391 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_392 ?x_393 | |
| [class_instances] (9) ?x_393 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_389 : field R := @discrete_field.to_field ?x_390 ?x_391 | |
| [class_instances] (8) ?x_391 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (8) ?x_391 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_392 ?x_393 | |
| [class_instances] (9) ?x_393 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_385 : ring R := @ordered_ring.to_ring ?x_386 ?x_387 | |
| [class_instances] (6) ?x_387 : ordered_ring R := @nonneg_ring.to_ordered_ring ?x_388 ?x_389 | |
| [class_instances] (7) ?x_389 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_390 ?x_391 | |
| [class_instances] (6) ?x_387 : ordered_ring R := @linear_ordered_ring.to_ordered_ring ?x_388 ?x_389 | |
| [class_instances] (7) ?x_389 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_390 ?x_391 | |
| [class_instances] (7) ?x_389 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_390 ?x_391 | |
| [class_instances] (8) ?x_391 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_392 ?x_393 | |
| [class_instances] (9) ?x_393 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_389 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_390 ?x_391 | |
| [class_instances] (8) ?x_391 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_392 ?x_393 | |
| [class_instances] (9) ?x_393 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_394 ?x_395 ?x_396 ?x_397 | |
| [class_instances] (9) ?x_393 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (9) ?x_393 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_394 ?x_395 | |
| [class_instances] (10) ?x_395 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_385 : ring R := @comm_ring.to_ring ?x_386 ?x_387 | |
| [class_instances] (6) ?x_387 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_387 : comm_ring R := _inst_5 | |
| [class_instances] (2) ?x_334 : @is_submonoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) := @non_zero_divisors.is_submonoid ?x_388 ?x_389 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_334 : @is_submonoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) := @prime.is_submonoid ?x_390 ?x_391 ?x_392 ?x_393 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_334 : @is_submonoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) := @monoid.closure.is_submonoid ?x_394 ?x_395 ?x_396 | |
| failed is_def_eq | |
| [class_instances] (2) ?x_334 : @is_submonoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| (@powers (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@ring.to_monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@comm_ring.to_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) | |
| (@localization.comm_ring R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _))) | |
| g) := @powers.is_submonoid ?x_397 ?x_398 ?x_399 | |
| [class_instances] (3) ?x_398 : monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @subtype.monoid ?x_400 ?x_401 ?x_402 ?x_403 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_398 : monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @multiplicative.monoid ?x_404 ?x_405 | |
| failed is_def_eq | |
| [class_instances] (3) ?x_398 : monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.monoid | |
| failed is_def_eq | |
| [class_instances] (3) ?x_398 : monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := nat.monoid | |
| failed is_def_eq | |
| [class_instances] (3) ?x_398 : monoid (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @ring.to_monoid ?x_406 ?x_407 | |
| [class_instances] (4) ?x_407 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @nonneg_ring.to_ring ?x_408 ?x_409 | |
| [class_instances] (5) ?x_409 : nonneg_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_nonneg_ring ?x_410 ?x_411 | |
| [class_instances] (4) ?x_407 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @domain.to_ring ?x_408 ?x_409 | |
| [class_instances] (5) ?x_409 : domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_domain ?x_410 ?x_411 | |
| [class_instances] (5) ?x_409 : domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @to_domain ?x_410 ?x_411 | |
| [class_instances] (6) ?x_411 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_linear_ordered_ring ?x_412 ?x_413 | |
| [class_instances] (6) ?x_411 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_linear_ordered_ring ?x_412 ?x_413 | |
| [class_instances] (7) ?x_413 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_414 ?x_415 | |
| [class_instances] (8) ?x_415 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_411 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_412 ?x_413 | |
| [class_instances] (7) ?x_413 : linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_414 ?x_415 | |
| [class_instances] (8) ?x_415 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_416 ?x_417 ?x_418 ?x_419 | |
| [class_instances] (8) ?x_415 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (8) ?x_415 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_416 ?x_417 | |
| [class_instances] (9) ?x_417 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_409 : domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @division_ring.to_domain ?x_410 ?x_411 | |
| [class_instances] (6) ?x_411 : division_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @field.to_division_ring ?x_412 ?x_413 | |
| [class_instances] (7) ?x_413 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_field ?x_414 ?x_415 | |
| [class_instances] (8) ?x_415 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_416 ?x_417 | |
| [class_instances] (9) ?x_417 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_413 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_field.to_field ?x_414 ?x_415 | |
| [class_instances] (8) ?x_415 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (8) ?x_415 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_discrete_field ?x_416 ?x_417 | |
| [class_instances] (9) ?x_417 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (5) ?x_409 : domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @integral_domain.to_domain ?x_410 ?x_411 | |
| [class_instances] (6) ?x_411 : integral_domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @field.to_integral_domain ?x_412 ?x_413 | |
| [class_instances] (7) ?x_413 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_field ?x_414 ?x_415 | |
| [class_instances] (8) ?x_415 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_416 ?x_417 | |
| [class_instances] (9) ?x_417 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (7) ?x_413 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_field.to_field ?x_414 ?x_415 | |
| [class_instances] (8) ?x_415 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (8) ?x_415 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_discrete_field ?x_416 ?x_417 | |
| [class_instances] (9) ?x_417 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_411 : integral_domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_field.to_integral_domain ?x_412 ?x_413 ?x_414 | |
| [class_instances] (7) ?x_413 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (7) ?x_413 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_discrete_field ?x_415 ?x_416 | |
| [class_instances] (8) ?x_416 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_411 : integral_domain (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_comm_ring.to_integral_domain ?x_412 ?x_413 | |
| [class_instances] (7) ?x_413 : linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_414 ?x_415 | |
| [class_instances] (8) ?x_415 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_416 ?x_417 ?x_418 ?x_419 | |
| [class_instances] (8) ?x_415 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (8) ?x_415 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_416 ?x_417 | |
| [class_instances] (9) ?x_417 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_407 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.ring | |
| failed is_def_eq | |
| [class_instances] (4) ?x_407 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @division_ring.to_ring ?x_408 ?x_409 | |
| [class_instances] (5) ?x_409 : division_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @field.to_division_ring ?x_410 ?x_411 | |
| [class_instances] (6) ?x_411 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_field ?x_412 ?x_413 | |
| [class_instances] (7) ?x_413 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_414 ?x_415 | |
| [class_instances] (8) ?x_415 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_411 : field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_field.to_field ?x_412 ?x_413 | |
| [class_instances] (7) ?x_413 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (7) ?x_413 : discrete_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_discrete_field ?x_414 ?x_415 | |
| [class_instances] (8) ?x_415 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_407 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @ordered_ring.to_ring ?x_408 ?x_409 | |
| [class_instances] (5) ?x_409 : ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @nonneg_ring.to_ordered_ring ?x_410 ?x_411 | |
| [class_instances] (6) ?x_411 : nonneg_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_nonneg_ring ?x_412 ?x_413 | |
| [class_instances] (5) ?x_409 : ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_ring.to_ordered_ring ?x_410 ?x_411 | |
| [class_instances] (6) ?x_411 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_linear_ordered_ring ?x_412 ?x_413 | |
| [class_instances] (6) ?x_411 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_field.to_linear_ordered_ring ?x_412 ?x_413 | |
| [class_instances] (7) ?x_413 : linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_linear_ordered_field ?x_414 ?x_415 | |
| [class_instances] (8) ?x_415 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (6) ?x_411 : linear_ordered_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_412 ?x_413 | |
| [class_instances] (7) ?x_413 : linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_414 ?x_415 | |
| [class_instances] (8) ?x_415 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_416 ?x_417 ?x_418 ?x_419 | |
| [class_instances] (8) ?x_415 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (8) ?x_415 : decidable_linear_ordered_comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_416 ?x_417 | |
| [class_instances] (9) ?x_417 : discrete_linear_ordered_field (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (4) ?x_407 : ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @comm_ring.to_ring ?x_408 ?x_409 | |
| [class_instances] (5) ?x_409 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_409 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := _inst_5 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_409 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ring_hom.im.comm_ring ?x_410 ?x_411 ?x_412 ?x_413 ?x_414 ?x_415 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_409 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @subring.comm_ring ?x_416 ?x_417 ?x_418 ?x_419 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_409 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ideal.help ?x_420 ?x_421 ?x_422 ?x_423 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_409 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @is_ideal.quotient.comm_ring ?x_424 ?x_425 ?x_426 ?x_427 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_409 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @quotient_ring.comm_ring ?x_428 ?x_429 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_409 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @at_prime.comm_ring ?x_430 ?x_431 ?x_432 ?x_433 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_409 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @away.comm_ring ?x_434 ?x_435 ?x_436 | |
| failed is_def_eq | |
| [class_instances] (5) ?x_409 : comm_ring (@loc R _inst_5 (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) _) := @localization.comm_ring ?x_437 ?x_438 ?x_439 ?x_440 | |
| [class_instances] (6) ?x_438 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_438 : comm_ring R := _inst_5 | |
| [class_instances] (6) ?x_440 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @non_zero_divisors.is_submonoid ?x_441 ?x_442 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_440 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @prime.is_submonoid ?x_443 ?x_444 ?x_445 ?x_446 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_440 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @monoid.closure.is_submonoid ?x_447 ?x_448 ?x_449 | |
| failed is_def_eq | |
| [class_instances] (6) ?x_440 : @is_submonoid R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) | |
| (@powers R (@ring.to_monoid R (@comm_ring.to_ring R _inst_5)) f) := @powers.is_submonoid ?x_450 ?x_451 ?x_452 | |
| [class_instances] (7) ?x_451 : monoid R := @subtype.monoid ?x_453 ?x_454 ?x_455 ?x_456 | |
| failed is_def_eq | |
| [class_instances] (7) ?x_451 : monoid R := @multiplicative.monoid ?x_457 ?x_458 | |
| failed is_def_eq | |
| [class_instances] (7) ?x_451 : monoid R := int.monoid | |
| failed is_def_eq | |
| [class_instances] (7) ?x_451 : monoid R := nat.monoid | |
| failed is_def_eq | |
| [class_instances] (7) ?x_451 : monoid R := @ring.to_monoid ?x_459 ?x_460 | |
| [class_instances] (8) ?x_460 : ring R := @nonneg_ring.to_ring ?x_461 ?x_462 | |
| [class_instances] (9) ?x_462 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_463 ?x_464 | |
| [class_instances] (8) ?x_460 : ring R := @domain.to_ring ?x_461 ?x_462 | |
| [class_instances] (9) ?x_462 : domain R := @linear_nonneg_ring.to_domain ?x_463 ?x_464 | |
| [class_instances] (9) ?x_462 : domain R := @to_domain ?x_463 ?x_464 | |
| [class_instances] (10) ?x_464 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_465 ?x_466 | |
| [class_instances] (10) ?x_464 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_465 ?x_466 | |
| [class_instances] (11) ?x_466 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_467 ?x_468 | |
| [class_instances] (12) ?x_468 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (10) ?x_464 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_465 ?x_466 | |
| [class_instances] (11) ?x_466 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_467 ?x_468 | |
| [class_instances] (12) ?x_468 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_469 ?x_470 ?x_471 ?x_472 | |
| [class_instances] (12) ?x_468 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (12) ?x_468 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_469 ?x_470 | |
| [class_instances] (13) ?x_470 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (9) ?x_462 : domain R := @division_ring.to_domain ?x_463 ?x_464 | |
| [class_instances] (10) ?x_464 : division_ring R := @field.to_division_ring ?x_465 ?x_466 | |
| [class_instances] (11) ?x_466 : field R := @linear_ordered_field.to_field ?x_467 ?x_468 | |
| [class_instances] (12) ?x_468 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_469 ?x_470 | |
| [class_instances] (13) ?x_470 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (11) ?x_466 : field R := @discrete_field.to_field ?x_467 ?x_468 | |
| [class_instances] (12) ?x_468 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (12) ?x_468 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_469 ?x_470 | |
| [class_instances] (13) ?x_470 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (9) ?x_462 : domain R := @integral_domain.to_domain ?x_463 ?x_464 | |
| [class_instances] (10) ?x_464 : integral_domain R := @field.to_integral_domain ?x_465 ?x_466 | |
| [class_instances] (11) ?x_466 : field R := @linear_ordered_field.to_field ?x_467 ?x_468 | |
| [class_instances] (12) ?x_468 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_469 ?x_470 | |
| [class_instances] (13) ?x_470 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (11) ?x_466 : field R := @discrete_field.to_field ?x_467 ?x_468 | |
| [class_instances] (12) ?x_468 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (12) ?x_468 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_469 ?x_470 | |
| [class_instances] (13) ?x_470 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (10) ?x_464 : integral_domain R := @discrete_field.to_integral_domain ?x_465 ?x_466 ?x_467 | |
| [class_instances] (11) ?x_466 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (11) ?x_466 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_468 ?x_469 | |
| [class_instances] (12) ?x_469 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (10) ?x_464 : integral_domain R := @linear_ordered_comm_ring.to_integral_domain ?x_465 ?x_466 | |
| [class_instances] (11) ?x_466 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_467 ?x_468 | |
| [class_instances] (12) ?x_468 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_469 ?x_470 ?x_471 ?x_472 | |
| [class_instances] (12) ?x_468 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (12) ?x_468 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_469 ?x_470 | |
| [class_instances] (13) ?x_470 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (8) ?x_460 : ring R := int.ring | |
| failed is_def_eq | |
| [class_instances] (8) ?x_460 : ring R := @division_ring.to_ring ?x_461 ?x_462 | |
| [class_instances] (9) ?x_462 : division_ring R := @field.to_division_ring ?x_463 ?x_464 | |
| [class_instances] (10) ?x_464 : field R := @linear_ordered_field.to_field ?x_465 ?x_466 | |
| [class_instances] (11) ?x_466 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_467 ?x_468 | |
| [class_instances] (12) ?x_468 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (10) ?x_464 : field R := @discrete_field.to_field ?x_465 ?x_466 | |
| [class_instances] (11) ?x_466 : discrete_field R := rat.field_rat | |
| failed is_def_eq | |
| [class_instances] (11) ?x_466 : discrete_field R := @discrete_linear_ordered_field.to_discrete_field ?x_467 ?x_468 | |
| [class_instances] (12) ?x_468 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (8) ?x_460 : ring R := @ordered_ring.to_ring ?x_461 ?x_462 | |
| [class_instances] (9) ?x_462 : ordered_ring R := @nonneg_ring.to_ordered_ring ?x_463 ?x_464 | |
| [class_instances] (10) ?x_464 : nonneg_ring R := @linear_nonneg_ring.to_nonneg_ring ?x_465 ?x_466 | |
| [class_instances] (9) ?x_462 : ordered_ring R := @linear_ordered_ring.to_ordered_ring ?x_463 ?x_464 | |
| [class_instances] (10) ?x_464 : linear_ordered_ring R := @linear_nonneg_ring.to_linear_ordered_ring ?x_465 ?x_466 | |
| [class_instances] (10) ?x_464 : linear_ordered_ring R := @linear_ordered_field.to_linear_ordered_ring ?x_465 ?x_466 | |
| [class_instances] (11) ?x_466 : linear_ordered_field R := @discrete_linear_ordered_field.to_linear_ordered_field ?x_467 ?x_468 | |
| [class_instances] (12) ?x_468 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (10) ?x_464 : linear_ordered_ring R := @linear_ordered_comm_ring.to_linear_ordered_ring ?x_465 ?x_466 | |
| [class_instances] (11) ?x_466 : linear_ordered_comm_ring R := @decidable_linear_ordered_comm_ring.to_linear_ordered_comm_ring ?x_467 ?x_468 | |
| [class_instances] (12) ?x_468 : decidable_linear_ordered_comm_ring R := @linear_nonneg_ring.to_decidable_linear_ordered_comm_ring ?x_469 ?x_470 ?x_471 ?x_472 | |
| [class_instances] (12) ?x_468 : decidable_linear_ordered_comm_ring R := int.decidable_linear_ordered_comm_ring | |
| failed is_def_eq | |
| [class_instances] (12) ?x_468 : decidable_linear_ordered_comm_ring R := @discrete_linear_ordered_field.to_decidable_linear_ordered_comm_ring ?x_469 ?x_470 | |
| [class_instances] (13) ?x_470 : discrete_linear_ordered_field R := rat.discrete_linear_ordered_field | |
| failed is_def_eq | |
| [class_instances] (8) ?x_460 : ring R := @comm_ring.to_ring ?x_461 ?x_462 | |
| [class_instances] (9) ?x_462 : comm_ring R := _inst_6 | |
| failed is_def_eq | |
| [class_instances] (9) ?x_462 : comm_ring R := _inst_5 |
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