diff options
author | msozeau <msozeau@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2008-03-31 12:13:43 +0000 |
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committer | msozeau <msozeau@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2008-03-31 12:13:43 +0000 |
commit | 64270c153f1b884eee201ab5eb5681ce61e7054e (patch) | |
tree | ec11f75a52a87eb30d6cace66fd92c47cbad2d51 /theories | |
parent | 45f5a9e88a35412c49703c95dbca6c38b9340e11 (diff) |
- Fix for rewriting under dependent products.
- Use support for abbreviations with params added by Hugo for inverse.
- Standard priorities for operators on relations.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10733 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories')
-rw-r--r-- | theories/Classes/RelationClasses.v | 11 |
1 files changed, 4 insertions, 7 deletions
diff --git a/theories/Classes/RelationClasses.v b/theories/Classes/RelationClasses.v index cb32b846d..0c663b709 100644 --- a/theories/Classes/RelationClasses.v +++ b/theories/Classes/RelationClasses.v @@ -36,9 +36,7 @@ Definition default_relation [ DefaultRelation A R ] : relation A := R. Notation " x ===def y " := (default_relation x y) (at level 70, no associativity). -Notation "'inverse' R" := (flip (R:relation _) : relation _) (at level 0). - -(* Definition inverse {A} : relation A -> relation A := flip. *) +Notation inverse R := (flip (R:relation _) : relation _). Definition complement {A} (R : relation A) : relation A := fun x y => R x y -> False. @@ -219,7 +217,7 @@ Program Instance [ sa : Equivalence a R, sb : Equivalence b R' ] => equiv_setoid Definition relation_equivalence {A : Type} : relation (relation A) := fun (R R' : relation A) => forall x y, R x y <-> R' x y. -Infix "<R>" := relation_equivalence (at level 70) : relation_scope. +Infix "<R>" := relation_equivalence (at level 95, no associativity) : relation_scope. Class subrelation {A:Type} (R R' : relation A) := is_subrelation : forall x y, R x y -> R' x y. @@ -231,12 +229,12 @@ Infix "-R>" := subrelation (at level 70) : relation_scope. Definition relation_conjunction {A} (R : relation A) (R' : relation A) : relation A := fun x y => R x y /\ R' x y. -Infix "/R\" := relation_conjunction (at level 55) : relation_scope. +Infix "/R\" := relation_conjunction (at level 80, right associativity) : relation_scope. Definition relation_disjunction {A} (R : relation A) (R' : relation A) : relation A := fun x y => R x y \/ R' x y. -Infix "\R/" := relation_disjunction (at level 55) : relation_scope. +Infix "\R/" := relation_disjunction (at level 85, right associativity) : relation_scope. Open Local Scope relation_scope. @@ -288,4 +286,3 @@ Proof. firstorder. Qed. Instance iff_inverse_impl_subrelation : subrelation iff (inverse impl). Proof. firstorder. Qed. - |