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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 __.
Definition VerifiedRewriterArithWithCasts : VerifiedRewriter.
Proof using All. make_rewriter false arith_with_casts_rewrite_rules_proofs. Defined.
Definition RewriteArithWithCasts {t} := Eval hnf in @Rewrite VerifiedRewriterArithWithCasts t.
Lemma Wf_RewriteArithWithCasts {t} e (Hwf : Wf e) : Wf (@RewriteArithWithCasts t e).
Proof. now apply VerifiedRewriterArithWithCasts. Qed.
Lemma Interp_gen_RewriteArithWithCasts {cast_outside_of_range t} e (Hwf : Wf e)
: expr.Interp (@ident.gen_interp cast_outside_of_range) (@RewriteArithWithCasts t e)
== expr.Interp (@ident.gen_interp cast_outside_of_range) e.
Proof. now apply VerifiedRewriterArithWithCasts. Qed.
Lemma Interp_RewriteArithWithCasts {t} e (Hwf : Wf e) : Interp (@RewriteArithWithCasts t e) == Interp e.
Proof. apply Interp_gen_RewriteArithWithCasts; assumption. Qed.
End __.
End RewriteRules.
Module Export Hints.
Hint Resolve Wf_RewriteArithWithCasts : wf.
Hint Rewrite @Interp_gen_RewriteArithWithCasts @Interp_RewriteArithWithCasts : interp.
End Hints.
End Compilers.
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