X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Fcsubv%2Fprops.ma;h=a7e04739a1ebe55375ba469ffdcb6e53ee933d05;hb=3cfed03c2025e778a5e62d9549b674dbfc6453bd;hp=7169228249f75e380eec7e3b6475440ffdce8b9d;hpb=112d29685ee9dceff93cdf64867a1a8037a53842;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..a7e04739a 100644 --- a/matita/matita/contribs/lambdadelta/basic_1/csubv/props.ma +++ b/matita/matita/contribs/lambdadelta/basic_1/csubv/props.ma @@ -14,9 +14,11 @@ (* 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". + +include "basic_1/T/props.ma". theorem csubv_bind_same: \forall (c1: C).(\forall (c2: C).((csubv c1 c2) \to (\forall (b: B).(\forall @@ -24,25 +26,24 @@ theorem csubv_bind_same: v2))))))) \def \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 *) +B).(let TMP_5 \def (\lambda (b0: B).(\forall (v1: T).(\forall (v2: T).(let +TMP_1 \def (Bind b0) in (let TMP_2 \def (CHead c1 TMP_1 v1) in (let TMP_3 +\def (Bind b0) in (let TMP_4 \def (CHead c2 TMP_3 v2) in (csubv TMP_2 +TMP_4)))))))) in (let TMP_6 \def (\lambda (v1: T).(\lambda (v2: +T).(csubv_bind c1 c2 H Abbr not_abbr_void Abbr v1 v2))) in (let TMP_7 \def +(\lambda (v1: T).(\lambda (v2: T).(csubv_bind c1 c2 H Abst not_abst_void Abst +v1 v2))) in (let TMP_8 \def (\lambda (v1: T).(\lambda (v2: T).(csubv_void c1 +c2 H v1 v2))) in (B_ind TMP_5 TMP_6 TMP_7 TMP_8 b)))))))). theorem csubv_refl: \forall (c: C).(csubv c c) \def - \lambda (c: C).(C_ind (\lambda (c0: C).(csubv c0 c0)) (\lambda (n: -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 *) + \lambda (c: C).(let TMP_1 \def (\lambda (c0: C).(csubv c0 c0)) in (let TMP_2 +\def (\lambda (n: nat).(csubv_sort n)) in (let TMP_8 \def (\lambda (c0: +C).(\lambda (H: (csubv c0 c0)).(\lambda (k: K).(let TMP_5 \def (\lambda (k0: +K).(\forall (t: T).(let TMP_3 \def (CHead c0 k0 t) in (let TMP_4 \def (CHead +c0 k0 t) in (csubv TMP_3 TMP_4))))) in (let TMP_6 \def (\lambda (b: +B).(\lambda (t: T).(csubv_bind_same c0 c0 H b t t))) in (let TMP_7 \def +(\lambda (f: F).(\lambda (t: T).(csubv_flat c0 c0 H f f t t))) in (K_ind +TMP_5 TMP_6 TMP_7 k))))))) in (C_ind TMP_1 TMP_2 TMP_8 c)))).