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=766db9f1f48279c86aa1d2ae8435e84ebd8fd9a6;hpb=88a68a9c334646bc17314d5327cd3b790202acd6;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 766db9f1f..c2dff1889 100644 --- a/matita/matita/contribs/lambdadelta/ground_1/ext/tactics.ma +++ b/matita/matita/contribs/lambdadelta/ground_1/ext/tactics.ma @@ -14,37 +14,28 @@ (* This file was automatically generated: do not edit *********************) -include "Ground-1/preamble.ma". +include "ground_1/preamble.ma". -theorem insert_eq: - \forall (S: Set).(\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)))))) +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: Set).(\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)).(H x H0 (refl_equal S x))))))). -(* COMMENTS -Initial nodes: 45 -END *) + \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)).(H x H0 (refl_equal S x))))))). -theorem unintro: - \forall (A: Set).(\forall (a: A).(\forall (P: ((A \to Prop))).(((\forall (x: -A).(P x))) \to (P a)))) +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: Set).(\lambda (a: A).(\lambda (P: ((A \to Prop))).(\lambda (H: -((\forall (x: A).(P x)))).(H a)))). -(* COMMENTS -Initial nodes: 17 -END *) + \lambda (A: Type[0]).(\lambda (a: A).(\lambda (P: ((A \to Prop))).(\lambda +(H: ((\forall (x: A).(P x)))).(H a)))). -theorem xinduction: - \forall (A: Set).(\forall (t: A).(\forall (P: ((A \to Prop))).(((\forall (x: -A).((eq A t x) \to (P x)))) \to (P t)))) +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: Set).(\lambda (t: A).(\lambda (P: ((A \to Prop))).(\lambda (H: -((\forall (x: A).((eq A t x) \to (P x))))).(H t (refl_equal A t))))). -(* COMMENTS -Initial nodes: 31 -END *) + \lambda (A: Type[0]).(\lambda (t: A).(\lambda (P: ((A \to Prop))).(\lambda +(H: ((\forall (x: A).((eq A t x) \to (P x))))).(H t (refl_equal A t))))).