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Require Export Crypto.SpecificGen.GF41417_32Reflective.Common.
Require Import Crypto.SpecificGen.GF41417_32BoundedCommon.
Require Import Crypto.Reflection.Z.Interpretations.
Require Import Crypto.Reflection.Syntax.
Require Import Crypto.Reflection.Application.
Require Import Crypto.Reflection.MapInterp.
Require Import Crypto.Util.Tactics.
Local Opaque Interp.
Lemma ExprBinOp_correct_and_bounded
ropW op (ropZ_sig : rexpr_binop_sig op)
(Hbounds : correct_and_bounded_genT ropW ropZ_sig)
(H0 : forall xy
(xy := (eta_fe41417_32W (fst xy), eta_fe41417_32W (snd xy)))
(Hxy : is_bounded (fe41417_32WToZ (fst xy)) = true
/\ is_bounded (fe41417_32WToZ (snd xy)) = true),
let Hx := let (Hx, Hy) := Hxy in Hx in
let Hy := let (Hx, Hy) := Hxy in Hy in
let args := binop_args_to_bounded xy Hx Hy in
match LiftOption.of'
(ApplyInterpedAll (Interp (@BoundedWord64.interp_op) (MapInterp BoundedWord64.of_word64 ropW))
(LiftOption.to' (Some args)))
with
| Some _ => True
| None => False
end)
(H1 : forall xy
(xy := (eta_fe41417_32W (fst xy), eta_fe41417_32W (snd xy)))
(Hxy : is_bounded (fe41417_32WToZ (fst xy)) = true
/\ is_bounded (fe41417_32WToZ (snd xy)) = true),
let Hx := let (Hx, Hy) := Hxy in Hx in
let Hy := let (Hx, Hy) := Hxy in Hy in
let args := binop_args_to_bounded (fst xy, snd xy) Hx Hy in
let x' := SmartVarfMap (fun _ : base_type => BoundedWord64.BoundedWordToBounds) args in
match LiftOption.of'
(ApplyInterpedAll (Interp (@ZBounds.interp_op) (MapInterp ZBounds.of_word64 ropW)) (LiftOption.to' (Some x')))
with
| Some bounds => binop_bounds_good bounds = true
| None => False
end)
: binop_correct_and_bounded (MapInterp (fun _ x => x) ropW) op.
Proof.
intros x y Hx Hy.
pose x as x'; pose y as y'.
hnf in x, y; destruct_head' prod.
specialize (H0 (x', y') (conj Hx Hy)).
specialize (H1 (x', y') (conj Hx Hy)).
let args := constr:(binop_args_to_bounded (x', y') Hx Hy) in
t_correct_and_bounded ropZ_sig Hbounds H0 H1 args.
Qed.
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