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Require Export Crypto.Specific.GF25519Reflective.Common.
Require Import Crypto.Specific.GF25519BoundedCommon.
Require Import Crypto.Reflection.Z.Interpretations64.
Require Import Crypto.Reflection.Syntax.
Require Import Crypto.Reflection.SmartMap.
Require Import Crypto.Reflection.Application.
Require Import Crypto.Util.Tactics.
Local Opaque Interp.
Lemma ExprUnOpWireToFE_correct_and_bounded
ropW op (ropZ_sig : rexpr_unop_WireToFE_sig op)
(Hbounds : correct_and_bounded_genT ropW ropZ_sig)
(H0 : forall x
(x := eta_wire_digitsW x)
(Hx : wire_digits_is_bounded (wire_digitsWToZ x) = true),
let args := unopWireToFE_args_to_bounded x Hx in
match LiftOption.of'
(ApplyInterpedAll (Interp (@BoundedWordW.interp_op) ropW)
(LiftOption.to' (Some args)))
with
| Some _ => True
| None => False
end)
(H1 : forall x
(x := eta_wire_digitsW x)
(Hx : wire_digits_is_bounded (wire_digitsWToZ x) = true),
let args := unopWireToFE_args_to_bounded x Hx in
let x' := SmartVarfMap (fun _ : base_type => BoundedWordW.BoundedWordToBounds) args in
match LiftOption.of'
(ApplyInterpedAll (Interp (@ZBounds.interp_op) ropW) (LiftOption.to' (Some x')))
with
| Some bounds => unopWireToFE_bounds_good bounds = true
| None => False
end)
: unop_WireToFE_correct_and_bounded ropW op.
Proof.
intros x Hx.
pose x as x'.
hnf in x; destruct_head' prod.
specialize (H0 x' Hx).
specialize (H1 x' Hx).
let args := constr:(unopWireToFE_args_to_bounded x' Hx) in
t_correct_and_bounded ropZ_sig Hbounds H0 H1 args.
Qed.
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