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Require Import Coq.ZArith.ZArith.
Require Import Crypto.Language.
Require Import Crypto.LanguageWf.
Require Import Crypto.RewriterProofsTactics.
Require Import Crypto.RewriterRulesProofs.
Module Compilers.
Import Language.Compilers.
Import Language.Compilers.defaults.
Import LanguageWf.Compilers.
Import RewriterProofsTactics.Compilers.RewriteRules.GoalType.
Import RewriterProofsTactics.Compilers.RewriteRules.Tactic.
Module Import RewriteRules.
Section __.
Context (max_const_val : Z).
Definition VerifiedRewriterArith : VerifiedRewriter.
Proof using All. make_rewriter false (arith_rewrite_rules_proofs max_const_val). Defined.
Definition RewriteArith {t} := Eval hnf in @Rewrite VerifiedRewriterArith t.
Lemma Wf_RewriteArith {t} e (Hwf : Wf e) : Wf (@RewriteArith t e).
Proof. now apply VerifiedRewriterArith. Qed.
Lemma Interp_gen_RewriteArith {cast_outside_of_range t} e (Hwf : Wf e)
: expr.Interp (@ident.gen_interp cast_outside_of_range) (@RewriteArith t e)
== expr.Interp (@ident.gen_interp cast_outside_of_range) e.
Proof. now apply VerifiedRewriterArith. Qed.
Lemma Interp_RewriteArith {t} e (Hwf : Wf e) : Interp (@RewriteArith t e) == Interp e.
Proof. apply Interp_gen_RewriteArith; assumption. Qed.
End __.
End RewriteRules.
Module Export Hints.
Hint Resolve Wf_RewriteArith : wf.
Hint Rewrite @Interp_gen_RewriteArith @Interp_RewriteArith : interp.
End Hints.
End Compilers.
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