X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Flib%2Fexteq.ma;h=148cbc51232a0327b4200ed533ee107a1e62ebf1;hb=ae626612bff9c3746dd7647bbada791c737e348c;hp=6e39281188722a81545cf2b47572a1e0003f8f2f;hpb=888840f6b3a71d3d686b53b702d362ab90ab0038;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/ground/lib/exteq.ma b/matita/matita/contribs/lambdadelta/ground/lib/exteq.ma
index 6e3928118..148cbc512 100644
--- a/matita/matita/contribs/lambdadelta/ground/lib/exteq.ma
+++ b/matita/matita/contribs/lambdadelta/ground/lib/exteq.ma
@@ -15,7 +15,7 @@
 include "ground/notation/relations/doteq_4.ma".
 include "ground/lib/relations.ma".
 
-(* EXTENSIONAL EQUIVALENCE **************************************************)
+(* EXTENSIONAL EQUIVALENCE FOR FUNCTIONS ************************************)
 
 definition exteq (A,B:Type[0]): relation (A → B) ≝
            λf1,f2. ∀a. f1 a = f2 a.
@@ -24,7 +24,7 @@ interpretation
   "extensional equivalence"
   'DotEq A B f1 f2 = (exteq A B f1 f2).
 
-(* Basic Constructions ******************************************************)
+(* Basic constructions ******************************************************)
 
 lemma exteq_refl (A) (B): reflexive … (exteq A B).
 // qed.
@@ -44,7 +44,7 @@ lemma exteq_canc_sn (A) (B): left_cancellable … (exteq A B).
 lemma exteq_canc_dx (A) (B): right_cancellable … (exteq A B).
 /2 width=1 by exteq_repl/ qed-.
 
-(* Constructions with function composition **********************************)
+(* Constructions with compose ***********************************************)
 
 lemma compose_repl_fwd_dx (A) (B) (C) (g) (f1) (f2):
       f1 ≐{A,B} f2 → g ∘ f1 ≐{A,C} g ∘ f2.