uri renaming and new nodes count

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

diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/s/props.ma b/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/s/props.ma
index 5d6b682a1230e0bc5f16357fa251fec5afa7ad64..3cb4fbd741a230babdff2138ceabd076ed404d68 100644 (file)
--- a/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/s/props.ma
+++ b/helm/software/matita/contribs/LAMBDA-TYPES/Basic-1/s/props.ma
@@ -14,7 +14,7 @@
 
 (* This file was automatically generated: do not edit *********************)
 
-include "LambdaDelta-1/s/defs.ma".
+include "Basic-1/s/defs.ma".
 
 theorem s_S:
  \forall (k: K).(\forall (i: nat).(eq nat (s k (S i)) (S (s k i))))
@@ -23,6 +23,9 @@ theorem s_S:
 i)) (S (s k0 i))))) (\lambda (b: B).(\lambda (i: nat).(refl_equal nat (S (s 
 (Bind b) i))))) (\lambda (f: F).(\lambda (i: nat).(refl_equal nat (S (s (Flat 
 f) i))))) k).
+(* COMMENTS
+Initial nodes: 65
+END *)
 
 theorem s_plus:
  \forall (k: K).(\forall (i: nat).(\forall (j: nat).(eq nat (s k (plus i j)) 
@@ -33,6 +36,9 @@ nat).(eq nat (s k0 (plus i j)) (plus (s k0 i) j))))) (\lambda (b: B).(\lambda
 (i: nat).(\lambda (j: nat).(refl_equal nat (plus (s (Bind b) i) j))))) 
 (\lambda (f: F).(\lambda (i: nat).(\lambda (j: nat).(refl_equal nat (plus (s 
 (Flat f) i) j))))) k).
+(* COMMENTS
+Initial nodes: 79
+END *)
 
 theorem s_plus_sym:
  \forall (k: K).(\forall (i: nat).(\forall (j: nat).(eq nat (s k (plus i j)) 
@@ -44,6 +50,9 @@ nat).(eq nat (s k0 (plus i j)) (plus i (s k0 j)))))) (\lambda (_: B).(\lambda
 nat n (plus i (S j)))) (refl_equal nat (plus i (S j))) (S (plus i j)) 
 (plus_n_Sm i j))))) (\lambda (f: F).(\lambda (i: nat).(\lambda (j: 
 nat).(refl_equal nat (plus i (s (Flat f) j)))))) k).
+(* COMMENTS
+Initial nodes: 117
+END *)
 
 theorem s_minus:
  \forall (k: K).(\forall (i: nat).(\forall (j: nat).((le j i) \to (eq nat (s 
@@ -56,6 +65,9 @@ i)).(eq_ind_r nat (minus (S i) j) (\lambda (n: nat).(eq nat n (minus (S i)
 j))) (refl_equal nat (minus (S i) j)) (S (minus i j)) (minus_Sn_m i j H)))))) 
 (\lambda (f: F).(\lambda (i: nat).(\lambda (j: nat).(\lambda (_: (le j 
 i)).(refl_equal nat (minus (s (Flat f) i) j)))))) k).
+(* COMMENTS
+Initial nodes: 137
+END *)
 
 theorem minus_s_s:
  \forall (k: K).(\forall (i: nat).(\forall (j: nat).(eq nat (minus (s k i) (s 
@@ -66,6 +78,9 @@ nat).(eq nat (minus (s k0 i) (s k0 j)) (minus i j))))) (\lambda (_:
 B).(\lambda (i: nat).(\lambda (j: nat).(refl_equal nat (minus i j))))) 
 (\lambda (_: F).(\lambda (i: nat).(\lambda (j: nat).(refl_equal nat (minus i 
 j))))) k).
+(* COMMENTS
+Initial nodes: 67
+END *)
 
 theorem s_le:
  \forall (k: K).(\forall (i: nat).(\forall (j: nat).((le i j) \to (le (s k i) 
@@ -75,6 +90,9 @@ theorem s_le:
 nat).((le i j) \to (le (s k0 i) (s k0 j)))))) (\lambda (_: B).(\lambda (i: 
 nat).(\lambda (j: nat).(\lambda (H: (le i j)).(le_n_S i j H))))) (\lambda (_: 
 F).(\lambda (i: nat).(\lambda (j: nat).(\lambda (H: (le i j)).H)))) k).
+(* COMMENTS
+Initial nodes: 65
+END *)
 
 theorem s_lt:
  \forall (k: K).(\forall (i: nat).(\forall (j: nat).((lt i j) \to (lt (s k i) 
@@ -84,6 +102,9 @@ theorem s_lt:
 nat).((lt i j) \to (lt (s k0 i) (s k0 j)))))) (\lambda (_: B).(\lambda (i: 
 nat).(\lambda (j: nat).(\lambda (H: (lt i j)).(le_n_S (S i) j H))))) (\lambda 
 (_: F).(\lambda (i: nat).(\lambda (j: nat).(\lambda (H: (lt i j)).H)))) k).
+(* COMMENTS
+Initial nodes: 67
+END *)
 
 theorem s_inj:
  \forall (k: K).(\forall (i: nat).(\forall (j: nat).((eq nat (s k i) (s k j)) 
@@ -94,6 +115,9 @@ nat).((eq nat (s k0 i) (s k0 j)) \to (eq nat i j))))) (\lambda (b:
 B).(\lambda (i: nat).(\lambda (j: nat).(\lambda (H: (eq nat (s (Bind b) i) (s 
 (Bind b) j))).(eq_add_S i j H))))) (\lambda (f: F).(\lambda (i: nat).(\lambda 
 (j: nat).(\lambda (H: (eq nat (s (Flat f) i) (s (Flat f) j))).H)))) k).
+(* COMMENTS
+Initial nodes: 97
+END *)
 
 theorem s_inc:
  \forall (k: K).(\forall (i: nat).(le i (s k i)))
@@ -102,6 +126,9 @@ theorem s_inc:
 (\lambda (b: B).(\lambda (i: nat).(le_S_n i (s (Bind b) i) (le_S (S i) (s 
 (Bind b) i) (le_n (s (Bind b) i)))))) (\lambda (f: F).(\lambda (i: nat).(le_n 
 (s (Flat f) i)))) k).
+(* COMMENTS
+Initial nodes: 73
+END *)
 
 theorem s_arith0:
  \forall (k: K).(\forall (i: nat).(eq nat (minus (s k i) (s k O)) i))
@@ -109,10 +136,16 @@ theorem s_arith0:
  \lambda (k: K).(\lambda (i: nat).(eq_ind_r nat (minus i O) (\lambda (n: 
 nat).(eq nat n i)) (eq_ind nat i (\lambda (n: nat).(eq nat n i)) (refl_equal 
 nat i) (minus i O) (minus_n_O i)) (minus (s k i) (s k O)) (minus_s_s k i O))).
+(* COMMENTS
+Initial nodes: 77
+END *)
 
 theorem s_arith1:
  \forall (b: B).(\forall (i: nat).(eq nat (minus (s (Bind b) i) (S O)) i))
 \def
  \lambda (_: B).(\lambda (i: nat).(eq_ind nat i (\lambda (n: nat).(eq nat n 
 i)) (refl_equal nat i) (minus i O) (minus_n_O i))).
+(* COMMENTS
+Initial nodes: 35
+END *)