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-Require Import Crypto.BaseSystem.
-Require Import Crypto.ModularArithmetic.PrimeFieldTheorems.
-Require Import Crypto.ModularArithmetic.PseudoMersenneBaseParams.
-Require Import Crypto.ModularArithmetic.PseudoMersenneBaseParamProofs.
-Require Import Crypto.ModularArithmetic.ModularBaseSystem.
-Require Import Crypto.ModularArithmetic.ModularBaseSystemProofs.
-Require Import Crypto.ModularArithmetic.ModularBaseSystemOpt.
-Require Export Crypto.SpecificGen.GF5211_32.
-Require Import Crypto.SpecificGen.GF5211_32BoundedCommon.
-Require Import Crypto.Reflection.Reify.
-Require Import Crypto.Reflection.Syntax.
-Require Import Crypto.Reflection.Map.
-Require Import Crypto.Reflection.Z.Interpretations64.
-Require Crypto.Reflection.Z.Interpretations64.Relations.
-Require Import Crypto.Reflection.Z.Interpretations64.RelationsCombinations.
-Require Import Crypto.Reflection.Z.Reify.
-Require Import Crypto.Reflection.Z.Syntax.
-Require Import Crypto.SpecificGen.GF5211_32Reflective.Common.
-Require Import Crypto.SpecificGen.GF5211_32Reflective.Reified.
-Require Import Bedrock.Word Crypto.Util.WordUtil.
-Require Import Coq.Lists.List Crypto.Util.ListUtil.
-Require Import Crypto.Tactics.VerdiTactics.
-Require Import Crypto.Util.ZUtil.
-Require Import Crypto.Util.Tuple.
-Require Import Crypto.Util.Tactics.
-Require Import Crypto.Util.LetIn.
-Require Import Crypto.Util.Notations.
-Require Import Crypto.Util.Bool.
-Require Import Crypto.Util.Decidable.
-Require Import Crypto.Algebra.
-Import ListNotations.
-Require Import Coq.ZArith.ZArith Coq.ZArith.Zpower Coq.ZArith.ZArith Coq.ZArith.Znumtheory.
-Local Open Scope Z.
-
-Definition radd : ExprBinOp := Eval vm_compute in rcarry_addW.
-Definition rsub : ExprBinOp := Eval vm_compute in rcarry_subW.
-Definition rmul : ExprBinOp := Eval vm_compute in rmulW.
-Definition ropp : ExprUnOp := Eval vm_compute in rcarry_oppW.
-Definition rprefreeze : ExprUnOp := Eval vm_compute in rprefreezeW.
-Definition rge_modulus : ExprUnOpFEToZ := Eval vm_compute in rge_modulusW.
-Definition rpack : ExprUnOpFEToWire := Eval vm_compute in rpackW.
-Definition runpack : ExprUnOpWireToFE := Eval vm_compute in runpackW.
-
-Declare Reduction asm_interp
- := cbv beta iota delta
- [id
- interp_bexpr interp_uexpr interp_uexpr_FEToWire interp_uexpr_FEToZ interp_uexpr_WireToFE interp_9_4expr
- Eta.interp_flat_type_eta Eta.interp_flat_type_eta_gen
- radd rsub rmul ropp rprefreeze rge_modulus rpack runpack
- curry_binop_fe5211_32W curry_unop_fe5211_32W curry_unop_wire_digitsW curry_9op_fe5211_32W
- WordW.interp_op WordW.interp_base_type
- Z.interp_op Z.interp_base_type
- Z.Syntax.interp_op Z.Syntax.interp_base_type
- mapf_interp_flat_type WordW.interp_base_type word64ize
- Interp interp interp_flat_type interpf interpf_step interp_flat_type fst snd].
-Ltac asm_interp
- := cbv beta iota delta
- [id
- interp_bexpr interp_uexpr interp_uexpr_FEToWire interp_uexpr_FEToZ interp_uexpr_WireToFE interp_9_4expr
- Eta.interp_flat_type_eta Eta.interp_flat_type_eta_gen
- radd rsub rmul ropp rprefreeze rge_modulus rpack runpack
- curry_binop_fe5211_32W curry_unop_fe5211_32W curry_unop_wire_digitsW curry_9op_fe5211_32W
- WordW.interp_op WordW.interp_base_type
- Z.interp_op Z.interp_base_type
- Z.Syntax.interp_op Z.Syntax.interp_base_type
- mapf_interp_flat_type WordW.interp_base_type word64ize
- Interp interp interp_flat_type interpf interp_flat_type fst snd].
-
-
-Definition interp_radd : SpecificGen.GF5211_32BoundedCommon.fe5211_32W * SpecificGen.GF5211_32BoundedCommon.fe5211_32W -> SpecificGen.GF5211_32BoundedCommon.fe5211_32W
- := Eval asm_interp in interp_bexpr radd.
-(*Print interp_radd.*)
-Definition interp_radd_correct : interp_radd = interp_bexpr radd := eq_refl.
-Definition interp_rsub : SpecificGen.GF5211_32BoundedCommon.fe5211_32W * SpecificGen.GF5211_32BoundedCommon.fe5211_32W -> SpecificGen.GF5211_32BoundedCommon.fe5211_32W
- := Eval asm_interp in interp_bexpr rsub.
-(*Print interp_rsub.*)
-Definition interp_rsub_correct : interp_rsub = interp_bexpr rsub := eq_refl.
-Definition interp_rmul : SpecificGen.GF5211_32BoundedCommon.fe5211_32W * SpecificGen.GF5211_32BoundedCommon.fe5211_32W -> SpecificGen.GF5211_32BoundedCommon.fe5211_32W
- := Eval asm_interp in interp_bexpr rmul.
-(*Print interp_rmul.*)
-Definition interp_rmul_correct : interp_rmul = interp_bexpr rmul := eq_refl.
-Definition interp_ropp : SpecificGen.GF5211_32BoundedCommon.fe5211_32W -> SpecificGen.GF5211_32BoundedCommon.fe5211_32W
- := Eval asm_interp in interp_uexpr ropp.
-(*Print interp_ropp.*)
-Definition interp_ropp_correct : interp_ropp = interp_uexpr ropp := eq_refl.
-Definition interp_rprefreeze : SpecificGen.GF5211_32BoundedCommon.fe5211_32W -> SpecificGen.GF5211_32BoundedCommon.fe5211_32W
- := Eval asm_interp in interp_uexpr rprefreeze.
-(*Print interp_rprefreeze.*)
-Definition interp_rprefreeze_correct : interp_rprefreeze = interp_uexpr rprefreeze := eq_refl.
-
-Definition interp_rge_modulus : SpecificGen.GF5211_32BoundedCommon.fe5211_32W -> SpecificGen.GF5211_32BoundedCommon.word64
- := Eval asm_interp in interp_uexpr_FEToZ rge_modulus.
-Definition interp_rge_modulus_correct : interp_rge_modulus = interp_uexpr_FEToZ rge_modulus := eq_refl.
-
-Definition interp_rpack : SpecificGen.GF5211_32BoundedCommon.fe5211_32W -> SpecificGen.GF5211_32BoundedCommon.wire_digitsW
- := Eval asm_interp in interp_uexpr_FEToWire rpack.
-Definition interp_rpack_correct : interp_rpack = interp_uexpr_FEToWire rpack := eq_refl.
-
-Definition interp_runpack : SpecificGen.GF5211_32BoundedCommon.wire_digitsW -> SpecificGen.GF5211_32BoundedCommon.fe5211_32W
- := Eval asm_interp in interp_uexpr_WireToFE runpack.
-Definition interp_runpack_correct : interp_runpack = interp_uexpr_WireToFE runpack := eq_refl.
-
-Lemma radd_correct_and_bounded : binop_correct_and_bounded radd carry_add.
-Proof. exact rcarry_addW_correct_and_bounded. Qed.
-Lemma rsub_correct_and_bounded : binop_correct_and_bounded rsub carry_sub.
-Proof. exact rcarry_subW_correct_and_bounded. Qed.
-Lemma rmul_correct_and_bounded : binop_correct_and_bounded rmul mul.
-Proof. exact rmulW_correct_and_bounded. Qed.
-Lemma ropp_correct_and_bounded : unop_correct_and_bounded ropp carry_opp.
-Proof. exact rcarry_oppW_correct_and_bounded. Qed.
-Lemma rprefreeze_correct_and_bounded : unop_correct_and_bounded rprefreeze prefreeze.
-Proof. exact rprefreezeW_correct_and_bounded. Qed.
-Lemma rge_modulus_correct_and_bounded : unop_FEToZ_correct rge_modulus ge_modulus.
-Proof. exact rge_modulusW_correct_and_bounded. Qed.
-Lemma rpack_correct_and_bounded : unop_FEToWire_correct_and_bounded rpack pack.
-Proof. exact rpackW_correct_and_bounded. Qed.
-Lemma runpack_correct_and_bounded : unop_WireToFE_correct_and_bounded runpack unpack.
-Proof. exact runpackW_correct_and_bounded. Qed.