cle introduced; ceq fixed

[helm.git] / helm / matita / contribs / PREDICATIVE-TOPOLOGY / class_defs.ma

diff --git a/helm/matita/contribs/PREDICATIVE-TOPOLOGY/class_defs.ma b/helm/matita/contribs/PREDICATIVE-TOPOLOGY/class_defs.ma
index acd73c4ba686ca00ca9523bfd27130bc730df00a..17a53f64f57ec30e013bdb79d514d5002f6b6bef 100644 (file)
--- a/helm/matita/contribs/PREDICATIVE-TOPOLOGY/class_defs.ma
+++ b/helm/matita/contribs/PREDICATIVE-TOPOLOGY/class_defs.ma
@@ -38,13 +38,14 @@ definition false_f \def \lambda (X:Type). \lambda (_:X). False.
 
 record Class: Type \def {
    class:> Type;
-   cin  : class \to Prop;
-   cle1 : class \to class \to Prop
+   cin: class \to Prop;
+   cle1: class \to class \to Prop
 }.
 
-inductive ceq (C:Class) (c1:C): C \to Prop \def
-   | ceq_refl:   cin ? c1 \to ceq ? c1 c1
-   | ceq_sing_r: \forall c2,c3. 
-                ceq ? c1 c2 \to cin ? c3 \to cle1 ? c2 c3 \to ceq ? c1 c3
-   | ceq_sing_l: \forall c2,c3. 
-                ceq ? c1 c2 \to cin ? c3 \to cle1 ? c3 c2 \to ceq ? c1 c3.
+inductive cle (C:Class) (c1:C): C \to Prop \def
+   | cle_refl: cin ? c1 \to cle ? c1 c1
+   | ceq_sing: \forall c2,c3. 
+               cle ? c1 c2 \to cin ? c3 \to cle1 ? c2 c3 \to cle ? c1 c3.
+
+inductive ceq (C:Class) (c1:C) (c2:C): Prop \def
+   | ceq_intro: cle ? c1 c2 \to cle ? c2 c1 \to ceq ? c1 c2.