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=e6e1faf02c1f8af3e9af95cdf704e46c7e2c06b8;hpb=639e798161afea770f41d78673c0fe3be4125beb;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 e6e1faf02..c2dff1889 100644 --- a/matita/matita/contribs/lambdadelta/ground_1/ext/tactics.ma +++ b/matita/matita/contribs/lambdadelta/ground_1/ext/tactics.ma @@ -16,7 +16,7 @@ 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)))))) @@ -25,14 +25,14 @@ theorem insert_eq: (G: ((S \to Prop))).(\lambda (H: ((\forall (y: S).((P y) \to ((eq S y x) \to (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