Created
November 21, 2014 13:34
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Unnamed_thm = | |
fun (T' S' : Prop) (H : T' -> S') (H0 : (T' -> False) \/ S' -> False) => | |
(fun H1 : (T' -> False) -> False => | |
(fun H2 : S' -> False => | |
(fun H3 : False => (fun H4 : False => False_ind False H4) H3) | |
((fun H3 : T' -> False => H1 H3) | |
((fun (H3 : False -> False) (H4 : T') => | |
(fun H5 : S' => | |
(fun H6 : False => (fun H7 : False => False_ind False H7) (H3 H6)) | |
(H2 H5)) (H H4)) (fun y : False => H1 (fun _ : T' => y))))) | |
(fun H2 : S' => H0 (or_intror H2))) | |
(fun H1 : T' -> False => H0 (or_introl H1)) | |
: forall T' S' : Prop, | |
(T' -> S') -> ((T' -> False) \/ S' -> False) -> False | |
Argument scopes are [type_scope type_scope _ _] |
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Goal forall T' S' : Prop , (T' -> S') -> ((or (T' -> False) S') -> False) -> False. | |
Proof. | |
tauto. | |
Defined. | |
Print Unnamed_thm. |
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