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authorGravatar herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7>2008-12-28 19:03:04 +0000
committerGravatar herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7>2008-12-28 19:03:04 +0000
commitf5eb06f0d2b28fe72db12fb57458b961b9ae9d85 (patch)
treef989b726ca64f25d9830e0d563e4992fbede83cc /theories/Logic/Decidable.v
parent835f581b40183986e76e5e02a26fab05239609c9 (diff)
- Another bug in get_sort_family_of (sort-polymorphism of constants and
inductive types was not taken into account). - Virtually extended tauto to - support arbitrary-length disjunctions and conjunctions, - support arbitrary complex forms of disjunctions and conjunctions when in the contravariant of an implicative hypothesis, - stick with the purely propositional fragment and not apply reflexivity. This is virtual in the sense that it is not activated since it breaks compatibility with the existing tauto. - Modified the notion of conjunction and unit type used in hipattern in a way that is closer to the intuitive meaning (forbid dependencies between parameters in conjunction; forbid indices in unit types). - Investigated how far "iff" could be turned into a direct inductive definition; modified tauto.ml4 so that it works with the current and the alternative definition. - Fixed a bug in the error message from lookup_eliminator. - Other minor changes. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11721 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Logic/Decidable.v')
-rw-r--r--theories/Logic/Decidable.v7
1 files changed, 7 insertions, 0 deletions
diff --git a/theories/Logic/Decidable.v b/theories/Logic/Decidable.v
index 6f793ce2f..6129128de 100644
--- a/theories/Logic/Decidable.v
+++ b/theories/Logic/Decidable.v
@@ -80,6 +80,13 @@ Proof.
unfold decidable; tauto.
Qed.
+Theorem not_iff :
+ forall A B:Prop, decidable A -> decidable B ->
+ ~ (A <-> B) -> (A /\ ~ B) \/ (~ A /\ B).
+Proof.
+unfold decidable; tauto.
+Qed.
+
(** Results formulated with iff, used in FSetDecide.
Negation are expanded since it is unclear whether setoid rewrite
will always perform conversion. *)