X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Fsty1%2Ffwd.ma;h=7307b49ffd03ceef35c0348c40bc9c5d24f23aa8;hb=57ae1762497a5f3ea75740e2908e04adb8642cc2;hp=f6680fca4f87307f4dd06b6e613825b6e37b6d13;hpb=6abec8ca6434937e46e098ed946bc6ed307f022b;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_1/sty1/fwd.ma b/matita/matita/contribs/lambdadelta/basic_1/sty1/fwd.ma index f6680fca4..7307b49ff 100644 --- a/matita/matita/contribs/lambdadelta/basic_1/sty1/fwd.ma +++ b/matita/matita/contribs/lambdadelta/basic_1/sty1/fwd.ma @@ -16,10 +16,10 @@ include "basic_1/sty1/defs.ma". -let rec sty1_ind (g: G) (c: C) (t1: T) (P: (T \to Prop)) (f: (\forall (t2: -T).((sty0 g c t1 t2) \to (P t2)))) (f0: (\forall (t: T).((sty1 g c t1 t) \to -((P t) \to (\forall (t2: T).((sty0 g c t t2) \to (P t2))))))) (t: T) (s0: -sty1 g c t1 t) on s0: P t \def match s0 with [(sty1_sty0 t2 s1) \Rightarrow -(f t2 s1) | (sty1_sing t0 s1 t2 s2) \Rightarrow (f0 t0 s1 ((sty1_ind g c t1 P -f f0) t0 s1) t2 s2)]. +implied rec lemma sty1_ind (g: G) (c: C) (t1: T) (P: (T \to Prop)) (f: +(\forall (t2: T).((sty0 g c t1 t2) \to (P t2)))) (f0: (\forall (t: T).((sty1 +g c t1 t) \to ((P t) \to (\forall (t2: T).((sty0 g c t t2) \to (P t2))))))) +(t: T) (s0: sty1 g c t1 t) on s0: P t \def match s0 with [(sty1_sty0 t2 s1) +\Rightarrow (f t2 s1) | (sty1_sing t0 s1 t2 s2) \Rightarrow (f0 t0 s1 +((sty1_ind g c t1 P f f0) t0 s1) t2 s2)].