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-Require Import Crypto.Compilers.Syntax.
-Require Import Crypto.Compilers.Named.Context.
-Require Import Crypto.Compilers.Named.Syntax.
-Require Import Crypto.Compilers.Named.Wf.
-Require Import Crypto.Util.PointedProp.
-Require Import Crypto.Util.Tactics.BreakMatch.
-Require Import Crypto.Util.Tactics.SpecializeBy.
-Require Import Crypto.Util.Tactics.DestructHead.
-
-Section language.
- Context {base_type_code Name interp_base_type}
- {op : flat_type base_type_code -> flat_type base_type_code -> Type}
- {interp_op : forall src dst, op src dst -> interp_flat_type interp_base_type src -> interp_flat_type interp_base_type dst}
- {Context : @Context base_type_code Name interp_base_type}.
-
- Lemma wff_interpf_not_None {ctx : Context} {t} {e : @exprf base_type_code op Name t}
- (Hwf : prop_of_option (wff ctx e))
- : @interpf base_type_code interp_base_type op Name Context interp_op t ctx e <> None.
- Proof using Type.
- revert dependent ctx; induction e;
- repeat first [ progress intros
- | progress simpl in *
- | progress unfold option_map, LetIn.Let_In in *
- | congruence
- | progress specialize_by_assumption
- | progress destruct_head' and
- | progress break_innermost_match_step
- | progress break_match_hyps
- | progress autorewrite with push_prop_of_option in *
- | progress specialize_by auto
- | solve [ intuition eauto ] ].
- Qed.
-
- Lemma wf_interp_not_None {ctx : Context} {t} {e : @expr base_type_code op Name t}
- (Hwf : wf ctx e)
- v
- : @interp base_type_code interp_base_type op Name Context interp_op t ctx e v <> None.
- Proof using Type.
- destruct e; unfold interp, wf in *; apply wff_interpf_not_None; auto.
- Qed.
-End language.