diff options
Diffstat (limited to 'theories/Sets/Relations_3.v')
| -rw-r--r-- | theories/Sets/Relations_3.v | 18 |
1 files changed, 9 insertions, 9 deletions
diff --git a/theories/Sets/Relations_3.v b/theories/Sets/Relations_3.v index b8c65148..970db182 100644 --- a/theories/Sets/Relations_3.v +++ b/theories/Sets/Relations_3.v @@ -24,7 +24,7 @@ (* in Summer 1995. Several developments by E. Ledinot were an inspiration. *) (****************************************************************************) -(*i $Id: Relations_3.v 8642 2006-03-17 10:09:02Z notin $ i*) +(*i $Id$ i*) Require Export Relations_1. Require Export Relations_2. @@ -32,26 +32,26 @@ Require Export Relations_2. Section Relations_3. Variable U : Type. Variable R : Relation U. - + Definition coherent (x y:U) : Prop := exists z : _, Rstar U R x z /\ Rstar U R y z. - + Definition locally_confluent (x:U) : Prop := forall y z:U, R x y -> R x z -> coherent y z. - + Definition Locally_confluent : Prop := forall x:U, locally_confluent x. - + Definition confluent (x:U) : Prop := forall y z:U, Rstar U R x y -> Rstar U R x z -> coherent y z. - + Definition Confluent : Prop := forall x:U, confluent x. - + Inductive noetherian (x: U) : Prop := definition_of_noetherian : (forall y:U, R x y -> noetherian y) -> noetherian x. - + Definition Noetherian : Prop := forall x:U, noetherian x. - + End Relations_3. Hint Unfold coherent: sets v62. Hint Unfold locally_confluent: sets v62. |