From 97fefe1fcca363a1317e066e7f4b99b9c1e9987b Mon Sep 17 00:00:00 2001 From: Stephane Glondu Date: Thu, 12 Jan 2012 16:02:20 +0100 Subject: Imported Upstream version 8.4~beta --- test-suite/bugs/closed/shouldsucceed/2404.v | 46 +++++++++++++++++++++++++++++ 1 file changed, 46 insertions(+) create mode 100644 test-suite/bugs/closed/shouldsucceed/2404.v (limited to 'test-suite/bugs/closed/shouldsucceed/2404.v') diff --git a/test-suite/bugs/closed/shouldsucceed/2404.v b/test-suite/bugs/closed/shouldsucceed/2404.v new file mode 100644 index 00000000..fe8eba54 --- /dev/null +++ b/test-suite/bugs/closed/shouldsucceed/2404.v @@ -0,0 +1,46 @@ +(* Check that dependencies in the indices of the type of the terms to + match are taken into account and correctly generalized *) + +Require Import Relations.Relation_Definitions. +Require Import Basics. + +Record Base := mkBase + {(* Primitives *) + World : Set + (* Names are real, links are theoretical *) + ; Name : World -> Set + + ; wweak : World -> World -> Prop + + ; exportw : forall a b : World, (wweak a b) -> (Name b) -> option (Name a) +}. + +Section Derived. + Variable base : Base. + Definition bWorld := World base. + Definition bName := Name base. + Definition bexportw := exportw base. + Definition bwweak := wweak base. + + Implicit Arguments bexportw [a b]. + +Inductive RstarSetProof {I : Type} (T : I -> I -> Type) : I -> I -> Type := + starReflS : forall a, RstarSetProof T a a +| starTransS : forall i j k, T i j -> (RstarSetProof T j k) -> RstarSetProof T i k. + +Implicit Arguments starTransS [I T i j k]. + +Definition RstarInv {A : Set} (rel : relation A) : A -> A -> Type := (flip (RstarSetProof (flip rel))). + +Definition bwweakFlip (b a : bWorld) : Prop := (bwweak a b). +Definition Rweak : forall a b : bWorld, Type := RstarInv bwweak. + +Fixpoint exportRweak {a b} (aRWb : Rweak a b) (y : bName b) : option (bName a) := + match aRWb,y with + | starReflS a, y' => Some y' + | starTransS i j k jWk jRWi, y' => + match (bexportw jWk y) with + | Some x => exportRweak jRWi x + | None => None + end + end. -- cgit v1.2.3