X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground_1%2Fext%2Ftactics.ma;h=c2dff1889f818761797bfb517f05adf4f0d8960a;hb=57ae1762497a5f3ea75740e2908e04adb8642cc2;hp=ef7d48075c148b5adf6db4c302b34026f16b0bca;hpb=14a8276e6d877c2281a1fda452ed3e4c150f5d39;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/ground_1/ext/tactics.ma b/matita/matita/contribs/lambdadelta/ground_1/ext/tactics.ma
index ef7d48075..c2dff1889 100644
--- a/matita/matita/contribs/lambdadelta/ground_1/ext/tactics.ma
+++ b/matita/matita/contribs/lambdadelta/ground_1/ext/tactics.ma
@@ -16,28 +16,26 @@
 
 include "ground_1/preamble.ma".
 
-theorem insert_eq:
+lemma insert_eq:
  \forall (S: Type[0]).(\forall (x: S).(\forall (P: ((S \to Prop))).(\forall 
 (G: ((S \to Prop))).(((\forall (y: S).((P y) \to ((eq S y x) \to (G y))))) 
 \to ((P x) \to (G x))))))
 \def
  \lambda (S: Type[0]).(\lambda (x: S).(\lambda (P: ((S \to Prop))).(\lambda 
 (G: ((S \to Prop))).(\lambda (H: ((\forall (y: S).((P y) \to ((eq S y x) \to 
-(G y)))))).(\lambda (H0: (P x)).(let TMP_1 \def (refl_equal S x) in (H x H0 
-TMP_1))))))).
+(G y)))))).(\lambda (H0: (P x)).(H x H0 (refl_equal S x))))))).
 
-theorem unintro:
+lemma unintro:
  \forall (A: Type[0]).(\forall (a: A).(\forall (P: ((A \to Prop))).(((\forall 
 (x: A).(P x))) \to (P a))))
 \def
  \lambda (A: Type[0]).(\lambda (a: A).(\lambda (P: ((A \to Prop))).(\lambda 
 (H: ((\forall (x: A).(P x)))).(H a)))).
 
-theorem xinduction:
+lemma xinduction:
  \forall (A: Type[0]).(\forall (t: A).(\forall (P: ((A \to Prop))).(((\forall 
 (x: A).((eq A t x) \to (P x)))) \to (P t))))
 \def
  \lambda (A: Type[0]).(\lambda (t: A).(\lambda (P: ((A \to Prop))).(\lambda 
-(H: ((\forall (x: A).((eq A t x) \to (P x))))).(let TMP_1 \def (refl_equal A 
-t) in (H t TMP_1))))).
+(H: ((\forall (x: A).((eq A t x) \to (P x))))).(H t (refl_equal A t))))).