X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Fcsubv%2Fprops.ma;h=eb8448a1a348cadeba6c5ca0ae1f3579c8a8c7da;hb=57ae1762497a5f3ea75740e2908e04adb8642cc2;hp=7169228249f75e380eec7e3b6475440ffdce8b9d;hpb=88a68a9c334646bc17314d5327cd3b790202acd6;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_1/csubv/props.ma b/matita/matita/contribs/lambdadelta/basic_1/csubv/props.ma index 716922824..eb8448a1a 100644 --- a/matita/matita/contribs/lambdadelta/basic_1/csubv/props.ma +++ b/matita/matita/contribs/lambdadelta/basic_1/csubv/props.ma @@ -14,11 +14,13 @@ (* This file was automatically generated: do not edit *********************) -include "Basic-1/csubv/defs.ma". +include "basic_1/csubv/defs.ma". -include "Basic-1/T/props.ma". +include "basic_1/C/fwd.ma". -theorem csubv_bind_same: +include "basic_1/T/props.ma". + +lemma csubv_bind_same: \forall (c1: C).(\forall (c2: C).((csubv c1 c2) \to (\forall (b: B).(\forall (v1: T).(\forall (v2: T).(csubv (CHead c1 (Bind b) v1) (CHead c2 (Bind b) v2))))))) @@ -26,15 +28,11 @@ v2))))))) \lambda (c1: C).(\lambda (c2: C).(\lambda (H: (csubv c1 c2)).(\lambda (b: B).(B_ind (\lambda (b0: B).(\forall (v1: T).(\forall (v2: T).(csubv (CHead c1 (Bind b0) v1) (CHead c2 (Bind b0) v2))))) (\lambda (v1: T).(\lambda (v2: -T).(csubv_bind c1 c2 H Abbr (\lambda (H0: (eq B Abbr Void)).(not_abbr_void -H0)) Abbr v1 v2))) (\lambda (v1: T).(\lambda (v2: T).(csubv_bind c1 c2 H Abst -(sym_not_eq B Void Abst not_void_abst) Abst v1 v2))) (\lambda (v1: -T).(\lambda (v2: T).(csubv_void c1 c2 H v1 v2))) b)))). -(* COMMENTS -Initial nodes: 121 -END *) +T).(csubv_bind c1 c2 H Abbr not_abbr_void Abbr v1 v2))) (\lambda (v1: +T).(\lambda (v2: T).(csubv_bind c1 c2 H Abst not_abst_void Abst v1 v2))) +(\lambda (v1: T).(\lambda (v2: T).(csubv_void c1 c2 H v1 v2))) b)))). -theorem csubv_refl: +lemma csubv_refl: \forall (c: C).(csubv c c) \def \lambda (c: C).(C_ind (\lambda (c0: C).(csubv c0 c0)) (\lambda (n: @@ -42,7 +40,4 @@ nat).(csubv_sort n)) (\lambda (c0: C).(\lambda (H: (csubv c0 c0)).(\lambda (k: K).(K_ind (\lambda (k0: K).(\forall (t: T).(csubv (CHead c0 k0 t) (CHead c0 k0 t)))) (\lambda (b: B).(\lambda (t: T).(csubv_bind_same c0 c0 H b t t))) (\lambda (f: F).(\lambda (t: T).(csubv_flat c0 c0 H f f t t))) k)))) c). -(* COMMENTS -Initial nodes: 93 -END *)