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proux01Yishuai Li
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examples/ConsiderDemo.v

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Require Import Coq.Bool.Bool.
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Require Import Arith.PeanoNat.
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From Coq Require Import Bool.
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From Coq Require Import PeanoNat.
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Require Import ExtLib.Tactics.Consider.
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Require Import ExtLib.Data.Nat.
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Require Import Coq.ZArith.ZArith.
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Require Import Coq.micromega.Lia.
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From Coq Require Import ZArith.
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From Coq Require Import Lia.
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Set Implicit Arguments.
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Set Strict Implicit.

theories/Core/Decision.v

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Require Import Coq.Classes.DecidableClass.
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From Coq.Classes Require Import DecidableClass.
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Definition decideP (P : Prop) {D : Decidable P} : {P} + {~P} :=
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match @Decidable_witness P D as X return (X = true -> P) -> (X = false -> ~P) -> {P} + {~P} with

theories/Core/EquivDec.v

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Require Import Coq.Classes.EquivDec.
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From Coq.Classes Require Import EquivDec.
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Theorem EquivDec_refl_left {T : Type} {c : EqDec T (@eq T)} :
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forall (n : T), equiv_dec n n = left (refl_equal _).
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reflexivity.
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Qed.
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Export Coq.Classes.EquivDec.
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Export EquivDec.

theories/Data/HList.v

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Require Import Coq.Lists.List Coq.Arith.PeanoNat.
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From Coq Require Import List PeanoNat.
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Require Import Relations RelationClasses.
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Require Import ExtLib.Core.RelDec.
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Require Import ExtLib.Data.SigT.

theories/Data/List.v

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Require Import Coq.Lists.List.
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Require Coq.Classes.EquivDec.
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From Coq Require Import List EquivDec.
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Require Import ExtLib.Core.RelDec.
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Require Import ExtLib.Structures.Monoid.
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Require Import ExtLib.Structures.Reducible.
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Proof.
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red. unfold Equivalence.equiv, RelationClasses.complement.
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intros.
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change (x = y -> False) with (x <> y).
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change (x = y -> False) with (not (x = y)).
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decide equality. eapply EqDec_T.
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Qed.
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End EqDec.

theories/Data/ListFirstnSkipn.v

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Require Import Coq.Lists.List.
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Require Import Coq.ZArith.ZArith.
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Require Import Coq.micromega.Lia.
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From Coq.Lists Require Import List.
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From Coq.ZArith Require Import ZArith.
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From Coq.micromega Require Import Lia.
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(** For backwards compatibility with hint locality attributes. *)
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Set Warnings "-unsupported-attributes".

theories/Data/ListNth.v

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Require Import Coq.Lists.List.
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Require Import Coq.Arith.PeanoNat.
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From Coq.Lists Require Import List.
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From Coq.Arith Require Import PeanoNat.
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Set Implicit Arguments.
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Set Strict Implicit.

theories/Data/Nat.v

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Require Coq.Arith.Arith.
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From Coq.Arith Require Arith.
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Require Import ExtLib.Core.RelDec.
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Require Import ExtLib.Structures.Monoid.
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Require Import ExtLib.Tactics.Consider.

theories/Data/PreFun.v

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Require Import Coq.Classes.Morphisms.
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Require Import Coq.Relations.Relations.
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From Coq.Classes Require Import Morphisms.
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From Coq.Relations Require Import Relations.
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Set Implicit Arguments.
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Set Strict Implicit.

theories/Data/SigT.v

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Require Coq.Classes.EquivDec.
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From Coq.Classes Require EquivDec.
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Require Import ExtLib.Structures.EqDep.
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Require Import ExtLib.Tactics.Injection.
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Require Import ExtLib.Tactics.EqDep.

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