X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Ffsubst0%2Ffwd.ma;h=59ca03b0bd5b69a76d19e2e09d2bd65d3bd91d8e;hb=57ae1762497a5f3ea75740e2908e04adb8642cc2;hp=97f8507191fc114ddf5e2b268801fb0e2c6fd436;hpb=639e798161afea770f41d78673c0fe3be4125beb;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_1/fsubst0/fwd.ma b/matita/matita/contribs/lambdadelta/basic_1/fsubst0/fwd.ma index 97f850719..59ca03b0b 100644 --- a/matita/matita/contribs/lambdadelta/basic_1/fsubst0/fwd.ma +++ b/matita/matita/contribs/lambdadelta/basic_1/fsubst0/fwd.ma @@ -16,7 +16,7 @@ include "basic_1/fsubst0/defs.ma". -theorem fsubst0_ind: +implied lemma fsubst0_ind: \forall (i: nat).(\forall (v: T).(\forall (c1: C).(\forall (t1: T).(\forall (P: ((C \to (T \to Prop)))).(((\forall (t2: T).((subst0 i v t1 t2) \to (P c1 t2)))) \to (((\forall (c2: C).((csubst0 i v c1 c2) \to (P c2 t1)))) \to @@ -33,7 +33,7 @@ C).(\lambda (t: T).(\lambda (f2: (fsubst0 i v c1 t1 c t)).(match f2 with [(fsubst0_snd x x0) \Rightarrow (f x x0) | (fsubst0_fst x x0) \Rightarrow (f0 x x0) | (fsubst0_both x x0 x1 x2) \Rightarrow (f1 x x0 x1 x2)]))))))))))). -theorem fsubst0_gen_base: +lemma fsubst0_gen_base: \forall (c1: C).(\forall (c2: C).(\forall (t1: T).(\forall (t2: T).(\forall (v: T).(\forall (i: nat).((fsubst0 i v c1 t1 c2 t2) \to (or3 (land (eq C c1 c2) (subst0 i v t1 t2)) (land (eq T t1 t2) (csubst0 i v c1 c2)) (land (subst0