Move Program tactics into a proper theories/ directory as they are general purpose and can be used directly be the user. Document them. Change Prelude to disambiguate an import of a Tactics module.

git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10060 85f007b7-540e-0410-9357-904b9bb8a0f7

1 files changed, 0 insertions, 47 deletions

diff --git a/contrib/subtac/FunctionalExtensionality.v b/contrib/subtac/FunctionalExtensionality.v
deleted file mode 100644
index 4610f3467a..0000000000
--- a/contrib/subtac/FunctionalExtensionality.v
+++ /dev/null
@@ -1,47 +0,0 @@
-Lemma equal_f : forall A B : Type, forall (f g : A -> B), 
-  f = g -> forall x, f x = g x.
-Proof.
-  intros.
-  rewrite H.
-  auto.
-Qed.
-
-Axiom fun_extensionality : forall A B (f g : A -> B), 
-  (forall x, f x = g x) -> f = g.
-
-Axiom fun_extensionality_dep : forall A, forall B : (A -> Type), forall (f g : forall x : A, B x), 
-  (forall x, f x = g x) -> f = g.
-
-Hint Resolve fun_extensionality fun_extensionality_dep : subtac.
-
-Require Import Coq.subtac.Utils.
-Require Import Coq.subtac.FixSub.
-
-Lemma fix_sub_eq_ext :
-  forall (A : Set) (R : A -> A -> Prop) (Rwf : well_founded R)
-    (P : A -> Set)
-    (F_sub : forall x : A, (forall  {y : A | R y x}, P (`y)) -> P x),
-    forall x : A,
-      Fix_sub A R Rwf P F_sub x =
-        F_sub x (fun {y : A | R y x}=> Fix A R Rwf P F_sub (`y)).
-Proof.
-  intros ; apply Fix_eq ; auto.
-  intros.
-  assert(f = g).
-  apply (fun_extensionality_dep _ _ _ _ H).
-  rewrite H0 ; auto.
-Qed.
-
-Lemma fix_sub_measure_eq_ext :
-  forall (A : Type) (f : A -> nat) (P : A -> Type)
-    (F_sub : forall x : A, (forall  {y : A | f y < f x}, P (`y)) -> P x),
-    forall x : A,
-      Fix_measure_sub A f P F_sub x =
-        F_sub x (fun {y : A | f y < f x}=> Fix_measure_sub A f P F_sub (`y)).
-Proof.
-  intros ; apply Fix_measure_eq ; auto.
-  intros.
-  assert(f0 = g).
-  apply (fun_extensionality_dep _ _ _ _ H).
-  rewrite H0 ; auto.
-Qed.