From 7b4e6a522bcf1f247ef9b3517af328b5da670a98 Mon Sep 17 00:00:00 2001
From: Cyril SIX <cyril.six@univ-grenoble-alpes.fr>
Date: Fri, 4 Oct 2019 17:57:25 +0200
Subject: Ibuiltin proof

---
 common/AST.v | 19 ++++++++++++++++++-
 1 file changed, 18 insertions(+), 1 deletion(-)

(limited to 'common')

diff --git a/common/AST.v b/common/AST.v
index a91138c9..7ffe355d 100644
--- a/common/AST.v
+++ b/common/AST.v
@@ -17,7 +17,7 @@
   the abstract syntax trees of many of the intermediate languages. *)
 
 Require Import String.
-Require Import Coqlib Maps Errors Integers Floats.
+Require Import Coqlib Maps Errors Integers Floats BinPos.
 Require Archi.
 
 Set Implicit Arguments.
@@ -630,11 +630,28 @@ Inductive builtin_arg (A: Type) : Type :=
   | BA_splitlong (hi lo: builtin_arg A)
   | BA_addptr (a1 a2: builtin_arg A).
 
+Definition builtin_arg_eq {A: Type}:
+  (forall x y : A, {x = y} + {x <> y}) ->
+  forall (ba1 ba2: (builtin_arg A)), {ba1=ba2} + {ba1<>ba2}.
+Proof.
+  intro. generalize Integers.int_eq int64_eq float_eq float32_eq chunk_eq ptrofs_eq ident_eq.
+  decide equality.
+Defined.
+Global Opaque builtin_arg_eq.
+
 Inductive builtin_res (A: Type) : Type :=
   | BR (x: A)
   | BR_none
   | BR_splitlong (hi lo: builtin_res A).
 
+Definition builtin_res_eq {A: Type}:
+  (forall x y : A, {x = y} + {x <> y}) ->
+  forall (a b: builtin_res A), {a=b} + {a<>b}.
+Proof.
+  intro. decide equality.
+Defined.
+Global Opaque builtin_res_eq.
+
 Fixpoint globals_of_builtin_arg (A: Type) (a: builtin_arg A) : list ident :=
   match a with
   | BA_loadglobal chunk id ofs => id :: nil
-- 
cgit