From 41797f79e59eee357d6bcce7385021c680b5de52 Mon Sep 17 00:00:00 2001 From: coq Date: Wed, 22 Feb 2006 17:37:43 +0000 Subject: Add vernacular file for subtac git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@8079 85f007b7-540e-0410-9357-904b9bb8a0f7 --- Makefile | 2 +- contrib/subtac/FixSub.v | 18 ++++++++++++++++++ 2 files changed, 19 insertions(+), 1 deletion(-) create mode 100644 contrib/subtac/FixSub.v diff --git a/Makefile b/Makefile index 5a443345df..882276f3f3 100644 --- a/Makefile +++ b/Makefile @@ -994,7 +994,7 @@ JPROVERVO= CCVO= -SUBTACVO= +SUBTACVO=contrib/subtac/FixSub.vo RTAUTOVO = \ contrib/rtauto/Bintree.vo contrib/rtauto/Rtauto.vo diff --git a/contrib/subtac/FixSub.v b/contrib/subtac/FixSub.v new file mode 100644 index 0000000000..4279c17f57 --- /dev/null +++ b/contrib/subtac/FixSub.v @@ -0,0 +1,18 @@ +Require Import Coq.Init.Wf. + +Section FixPoint. + +Variable A : Set. +Variable R : A -> A -> Prop. +Hypothesis Rwf : well_founded R. +Variable P : A -> Set. + +Variable F_sub : forall x:A, (forall y: { y : A | R y x }, P (proj1_sig y)) -> P x. + +Fixpoint Fix_F_sub (x:A) (r:Acc R x) {struct r} : P x := + F_sub x (fun y: { y : A | R y x } => Fix_F_sub (proj1_sig y) (Acc_inv r (proj1_sig y) (proj2_sig y))). + +Definition Fix_sub (x : A) := Fix_F_sub x (Rwf x). + +End FixPoint. + -- cgit v1.2.3