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theories/FOL/Sets/Models/HF_model.v

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Lemma list_numerals_nodup n :
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NoDup (list_numerals n).
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Proof.
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apply FinFun.Injective_map_NoDup.
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apply Finite.Injective_map_NoDup.
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- intros k k'. apply hfs_numeral_inj.
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- apply list_n_nodup.
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Qed.

theories/HOU/calculus/equivalence.v

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Set Implicit Arguments.
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From Stdlib Require Import Morphisms Lia FinFun.
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From Stdlib Require Import Morphisms Lia Finite.
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From Undecidability.HOU Require Import std.std.
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From Undecidability.HOU.calculus Require Import
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prelim terms syntax semantics confluence.

theories/HOU/calculus/semantics.v

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Set Implicit Arguments.
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From Undecidability.HOU Require Import calculus.prelim calculus.terms calculus.syntax std.std.
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From Stdlib Require Import Morphisms Lia FinFun.
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From Stdlib Require Import Morphisms Lia Finite.
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(* * Semantics **)
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Section Semantics.

theories/HOU/calculus/terms_extension.v

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Set Implicit Arguments.
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From Stdlib Require Import List Arith Lia Morphisms FinFun.
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From Stdlib Require Import List Arith Lia Morphisms Finite.
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Import ListNotations.
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From Undecidability.HOU Require Import std.std.
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From Undecidability.HOU.calculus Require Import

theories/HOU/second_order/goldfarb/multiplication.v

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@@ -3,7 +3,7 @@ From Stdlib Require Import List Lia Program.Program.
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From Undecidability.HOU Require Import std.std axioms.
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From Stdlib Require Import RelationClasses Morphisms Init.Wf Init.Nat Setoid.
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From Undecidability.HOU Require Import calculus.calculus second_order.goldfarb.encoding.
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From Stdlib Require Import FinFun Arith.Wf_nat.
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From Stdlib Require Import Finite Arith.Wf_nat.
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Import ListNotations ArsInstances.
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theories/HOU/std/ars/basic.v

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*)
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Set Implicit Arguments.
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From Stdlib Require Import Morphisms FinFun.
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From Stdlib Require Import Morphisms Finite.
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From Undecidability.HOU Require Import std.tactics.
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Section ClosureRelations.

theories/HOU/std/ars/confluence.v

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*)
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Set Implicit Arguments.
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From Stdlib Require Import Morphisms FinFun.
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From Stdlib Require Import Morphisms Finite.
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From Undecidability.HOU Require Import std.tactics std.misc std.ars.basic.
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Import ArsInstances.
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#[export] Hint Constructors star : core.

theories/HOU/std/ars/evaluator.v

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*)
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Set Implicit Arguments.
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From Stdlib Require Import Morphisms FinFun ConstructiveEpsilon.
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From Stdlib Require Import Morphisms Finite ConstructiveEpsilon.
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From Undecidability.HOU Require Import std.tactics std.decidable std.misc std.ars.basic std.ars.confluence.
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Import ArsInstances.
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Section Evaluator.

theories/HOU/std/ars/list_reduction.v

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Set Implicit Arguments.
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From Stdlib Require Import List Morphisms FinFun.
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From Stdlib Require Import List Morphisms Finite.
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From Undecidability.HOU Require Import std.tactics std.ars.basic std.ars.confluence.
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Import ListNotations ArsInstances.
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Section ListRelations.

theories/HOU/std/countability.v

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Set Implicit Arguments.
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From Stdlib Require Import FinFun.
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Set Implicit Arguments.
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From Stdlib Require Import Finite.
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From Undecidability.HOU Require Import std.decidable.
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Inductive diag: nat -> nat -> Type :=

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