X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FBasic-1%2Fpc3%2Fleft.ma;h=12d22d10cfba4378b76d5bf97269187ac7a1ac90;hb=de77f79d60ee3c1d30fe03469172950b557441f3;hp=00e38a85accd7bc5415a1c62172cf778dc1dcb04;hpb=3531d88e2a19cba027b4b882f8dd74bf37283b9c;p=helm.git

diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/pc3/left.ma b/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/pc3/left.ma
index 00e38a85a..12d22d10c 100644
--- a/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/pc3/left.ma
+++ b/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/pc3/left.ma
@@ -14,7 +14,7 @@
 
 (* This file was automatically generated: do not edit *********************)
 
-include "LambdaDelta-1/pc3/props.ma".
+include "Basic-1/pc3/props.ma".
 
 theorem pc3_ind_left__pc3_left_pr3:
  \forall (c: C).(\forall (t1: T).(\forall (t2: T).((pr3 c t1 t2) \to 
@@ -25,6 +25,9 @@ t2)).(pr3_ind c (\lambda (t: T).(\lambda (t0: T).(pc3_left c t t0))) (\lambda
 (t: T).(pc3_left_r c t)) (\lambda (t0: T).(\lambda (t3: T).(\lambda (H0: (pr2 
 c t3 t0)).(\lambda (t4: T).(\lambda (_: (pr3 c t0 t4)).(\lambda (H2: 
 (pc3_left c t0 t4)).(pc3_left_ur c t3 t0 H0 t4 H2))))))) t1 t2 H)))).
+(* COMMENTS
+Initial nodes: 87
+END *)
 
 theorem pc3_ind_left__pc3_left_trans:
  \forall (c: C).(\forall (t1: T).(\forall (t2: T).((pc3_left c t1 t2) \to 
@@ -42,6 +45,9 @@ t3 H0 t5 (H2 t5 H3)))))))))) (\lambda (t0: T).(\lambda (t3: T).(\lambda (H0:
 (H2: ((\forall (t5: T).((pc3_left c t4 t5) \to (pc3_left c t0 
 t5))))).(\lambda (t5: T).(\lambda (H3: (pc3_left c t4 t5)).(pc3_left_ux c t0 
 t3 H0 t5 (H2 t5 H3)))))))))) t1 t2 H)))).
+(* COMMENTS
+Initial nodes: 195
+END *)
 
 theorem pc3_ind_left__pc3_left_sym:
  \forall (c: C).(\forall (t1: T).(\forall (t2: T).((pc3_left c t1 t2) \to 
@@ -57,6 +63,9 @@ T).(\lambda (t3: T).(\lambda (H0: (pr2 c t0 t3)).(\lambda (t4: T).(\lambda
 (_: (pc3_left c t0 t4)).(\lambda (H2: (pc3_left c t4 
 t0)).(pc3_ind_left__pc3_left_trans c t4 t0 H2 t3 (pc3_left_ur c t0 t3 H0 t3 
 (pc3_left_r c t3))))))))) t1 t2 H)))).
+(* COMMENTS
+Initial nodes: 163
+END *)
 
 theorem pc3_ind_left__pc3_left_pc3:
  \forall (c: C).(\forall (t1: T).(\forall (t2: T).((pc3 c t1 t2) \to 
@@ -68,6 +77,9 @@ T).(pr3 c t2 t)) (pc3_left c t1 t2) (\lambda (x: T).(\lambda (H1: (pr3 c t1
 x)).(\lambda (H2: (pr3 c t2 x)).(pc3_ind_left__pc3_left_trans c t1 x 
 (pc3_ind_left__pc3_left_pr3 c t1 x H1) t2 (pc3_ind_left__pc3_left_sym c t2 x 
 (pc3_ind_left__pc3_left_pr3 c t2 x H2)))))) H0))))).
+(* COMMENTS
+Initial nodes: 105
+END *)
 
 theorem pc3_ind_left__pc3_pc3_left:
  \forall (c: C).(\forall (t1: T).(\forall (t2: T).((pc3_left c t1 t2) \to 
@@ -81,6 +93,9 @@ c t3 t4)).(pc3_t t3 c t0 (pc3_pr2_r c t0 t3 H0) t4 H2))))))) (\lambda (t0:
 T).(\lambda (t3: T).(\lambda (H0: (pr2 c t0 t3)).(\lambda (t4: T).(\lambda 
 (_: (pc3_left c t0 t4)).(\lambda (H2: (pc3 c t0 t4)).(pc3_t t0 c t3 
 (pc3_pr2_x c t3 t0 H0) t4 H2))))))) t1 t2 H)))).
+(* COMMENTS
+Initial nodes: 147
+END *)
 
 theorem pc3_ind_left:
  \forall (c: C).(\forall (P: ((T \to (T \to Prop)))).(((\forall (t: T).(P t 
@@ -104,4 +119,7 @@ T).(\lambda (H4: (pc3_left c t2 t3)).(\lambda (H5: (P t2 t3)).(H0 t1 t2 H3 t3
 c t1 t3)).(\lambda (H5: (P t1 t3)).(H1 t1 t2 H3 t3 
 (pc3_ind_left__pc3_pc3_left c t1 t3 H4) H5))))))) t t0 
 (pc3_ind_left__pc3_left_pc3 c t t0 H2))))))))).
+(* COMMENTS
+Initial nodes: 225
+END *)