uri renaming and new nodes count

[helm.git] / helm / software / matita / contribs / LAMBDA-TYPES / Basic-1 / pr1 / props.ma

diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/pr1/props.ma b/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/pr1/props.ma
index acb36f90f1c037d6c852b431b177d35a9d5e0cdd..0615bed96d335c5d6e7a0fcf70065fcff76efb90 100644 (file)
--- a/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/pr1/props.ma
+++ b/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/pr1/props.ma
@@ -14,19 +14,22 @@
 
 (* This file was automatically generated: do not edit *********************)
 
-include "LambdaDelta-1/pr1/defs.ma".
+include "Basic-1/pr1/defs.ma".
 
-include "LambdaDelta-1/pr0/subst1.ma".
+include "Basic-1/pr0/subst1.ma".
 
-include "LambdaDelta-1/subst1/props.ma".
+include "Basic-1/subst1/props.ma".
 
-include "LambdaDelta-1/T/props.ma".
+include "Basic-1/T/props.ma".
 
 theorem pr1_pr0:
  \forall (t1: T).(\forall (t2: T).((pr0 t1 t2) \to (pr1 t1 t2)))
 \def
  \lambda (t1: T).(\lambda (t2: T).(\lambda (H: (pr0 t1 t2)).(pr1_sing t2 t1 H 
 t2 (pr1_refl t2)))).
+(* COMMENTS
+Initial nodes: 23
+END *)
 
 theorem pr1_t:
  \forall (t2: T).(\forall (t1: T).((pr1 t1 t2) \to (\forall (t3: T).((pr1 t2 
@@ -39,6 +42,9 @@ t3) \to (pr1 t1 t3)))))
 (_: (pr1 t0 t4)).(\lambda (H2: ((\forall (t5: T).((pr1 t4 t5) \to (pr1 t0 
 t5))))).(\lambda (t5: T).(\lambda (H3: (pr1 t4 t5)).(pr1_sing t0 t3 H0 t5 (H2 
 t5 H3)))))))))) t1 t2 H))).
+(* COMMENTS
+Initial nodes: 103
+END *)
 
 theorem pr1_head_1:
  \forall (u1: T).(\forall (u2: T).((pr1 u1 u2) \to (\forall (t: T).(\forall 
@@ -51,6 +57,9 @@ t0 t) (THead k t1 t)))) (\lambda (t0: T).(pr1_refl (THead k t0 t))) (\lambda
 (_: (pr1 t2 t3)).(\lambda (H2: (pr1 (THead k t2 t) (THead k t3 t))).(pr1_sing 
 (THead k t2 t) (THead k t1 t) (pr0_comp t1 t2 H0 t t (pr0_refl t) k) (THead k 
 t3 t) H2))))))) u1 u2 H))))).
+(* COMMENTS
+Initial nodes: 137
+END *)
 
 theorem pr1_head_2:
  \forall (t1: T).(\forall (t2: T).((pr1 t1 t2) \to (\forall (u: T).(\forall 
@@ -63,6 +72,9 @@ T).(\lambda (t3: T).(\lambda (H0: (pr0 t3 t0)).(\lambda (t4: T).(\lambda (_:
 (pr1 t0 t4)).(\lambda (H2: (pr1 (THead k u t0) (THead k u t4))).(pr1_sing 
 (THead k u t0) (THead k u t3) (pr0_comp u u (pr0_refl u) t3 t0 H0 k) (THead k 
 u t4) H2))))))) t1 t2 H))))).
+(* COMMENTS
+Initial nodes: 137
+END *)
 
 theorem pr1_comp:
  \forall (v: T).(\forall (w: T).((pr1 v w) \to (\forall (t: T).(\forall (u: 
@@ -83,6 +95,9 @@ t0)).(\lambda (t5: T).(\lambda (_: (pr1 t0 t5)).(\lambda (H6: (pr1 (THead k
 t1 t0) (THead k t3 t5))).(pr1_sing (THead k t1 t0) (THead k t1 t4) (pr0_comp 
 t1 t1 (pr0_refl t1) t4 t0 H4 k) (THead k t3 t5) H6))))))) t u H3))))))))))) v 
 w H))).
+(* COMMENTS
+Initial nodes: 273
+END *)
 
 theorem pr1_eta:
  \forall (w: T).(\forall (u: T).(let t \def (THead (Bind Abst) w u) in 
@@ -105,4 +120,7 @@ Abbr) (TLRef O) (lift (S O) (S O) u)) (pr0_delta1 (TLRef O) (TLRef O)
 (pr1_pr0 (THead (Bind Abbr) (TLRef O) (lift (S O) O u)) u (pr0_zeta Abbr 
 not_abbr_abst u u (pr0_refl u) (TLRef O))))) (Bind Abst)) (lift (S O) O 
 (THead (Bind Abst) w u)) (lift_bind Abst w u (S O) O)))))).
+(* COMMENTS
+Initial nodes: 463
+END *)