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From mathcomp Require Import ssreflect. | |
Require Import List Nat Ensembles Image. | |
Import ListNotations. | |
Notation empty := (Empty_set _). | |
Notation single := (Singleton _). | |
Notation union := (Union _). | |
Definition bigcup {T} (X : Ensemble (Ensemble T)) : Ensemble T := |
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From mathcomp Require Import all_ssreflect. | |
Require Import Bool Nat. | |
Set Implicit Arguments. | |
Unset Strict Implicit. | |
Unset Printing Implicit Defensive. | |
Class lattice := Lattice { | |
base : finType; | |
meet : base -> base -> base; |
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From mathcomp Require Import all_ssreflect. | |
Require Import Bool. | |
Set Implicit Arguments. | |
Unset Strict Implicit. | |
Unset Printing Implicit Defensive. | |
Class poSet := PoSet { | |
base : finType; |
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From mathcomp Require Export fintype finset ssrbool ssreflect eqtype. | |
Module Type SIG. | |
Parameter T : finType. | |
Parameter A : {set T}. | |
Parameter F : {set T} -> {set T}. | |
Parameter mono : forall (X Y : {set T}), X \subset Y -> F X \subset F Y. | |
End SIG. |
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From mathcomp Require Export fintype finset ssrbool ssreflect. | |
Module Type FinTypeSig. | |
Parameter T : finType. | |
End FinTypeSig. | |
Module Type ArgFrame (FTS : FinTypeSig). | |
Import FTS. |
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Require Import Ensembles. | |
From mathcomp Require Import ssreflect. | |
Arguments Singleton {U}. | |
Arguments Union {U}. | |
Arguments Setminus {U}. | |
Arguments Included {U}. | |
Arguments Couple {U}. | |
Arguments Empty_set {U}. |
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Require Import List Bool Classical. | |
Import ListNotations. | |
From mathcomp Require Import ssreflect ssrbool. | |
Require Import Ensembles ProofIrrelevance Classical_sets. | |
Definition var := nat. | |
Variable fls tru : var. |
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Require Import List. | |
Import ListNotations. | |
Variable var : Type. | |
Variable tru fls : var. | |
Inductive prop := | |
| Var : var -> prop | |
| Not : prop -> prop | |
| And : prop -> prop -> prop |
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From mathcomp Require Import all_ssreflect. | |
Variables argument position : finType. | |
Definition A := [set : argument]. | |
Definition X := [set : position]. | |
Definition Rel := rel position. | |
Axiom axiomA : 0 < #|argument|. |
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Require Export Classical. | |
Module ACTL. | |
Section Def. | |
Context {state action : Set} {trans : state -> action -> state -> Prop} | |
{tau : action} {tau_eq : forall s s', trans s tau s' <-> s = s'}. |