more notation

[helm.git] / helm / software / matita / contribs / ng_TPTP / RNG036-7.ma

diff --git a/helm/software/matita/contribs/ng_TPTP/RNG036-7.ma b/helm/software/matita/contribs/ng_TPTP/RNG036-7.ma
index 96e40b2f02c524fb1c18a86b494623cf7b080045..2d1b50dbe1ed69dc6802a27a398cc8ff76cca45d 100644 (file)
--- a/helm/software/matita/contribs/ng_TPTP/RNG036-7.ma
+++ b/helm/software/matita/contribs/ng_TPTP/RNG036-7.ma
@@ -4,7 +4,7 @@ include "logic/equality.ma".
 
 (* -------------------------------------------------------------------------- *)
 
-(*  File     : RNG036-7 : TPTP v3.2.0. Released v1.0.0. *)
+(*  File     : RNG036-7 : TPTP v3.7.0. Released v1.0.0. *)
 
 (*  Domain   : Ring Theory *)
 
@@ -50,7 +50,7 @@ include "logic/equality.ma".
 
 (* -------------------------------------------------------------------------- *)
 
-(*  File     : RNG005-0 : TPTP v3.2.0. Released v1.0.0. *)
+(*  File     : RNG005-0 : TPTP v3.7.0. Released v1.0.0. *)
 
 (*  Domain   : Ring Theory  *)
 
@@ -72,7 +72,7 @@ include "logic/equality.ma".
 
 (*  Syntax   : Number of clauses    :    9 (   0 non-Horn;   9 unit;   0 RR) *)
 
-(*             Number of literals   :    9 (   9 equality) *)
+(*             Number of atoms      :    9 (   9 equality) *)
 
 (*             Maximal clause size  :    1 (   1 average) *)
 
@@ -104,7 +104,7 @@ include "logic/equality.ma".
 
 (* -------------------------------------------------------------------------- *)
 ntheorem prove_commutativity:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
 ∀a:Univ.
 ∀add:∀_:Univ.∀_:Univ.Univ.
 ∀additive_identity:Univ.
@@ -122,31 +122,32 @@ ntheorem prove_commutativity:
 ∀H7:∀X:Univ.eq Univ (add X (additive_inverse X)) additive_identity.
 ∀H8:∀X:Univ.eq Univ (add (additive_inverse X) X) additive_identity.
 ∀H9:∀X:Univ.eq Univ (add X additive_identity) X.
-∀H10:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (multiply b a) c
+∀H10:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (multiply b a) c)
 .
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#add.
-#additive_identity.
-#additive_inverse.
-#b.
-#c.
-#multiply.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-#H5.
-#H6.
-#H7.
-#H8.
-#H9.
-#H10.
-nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#add ##.
+#additive_identity ##.
+#additive_inverse ##.
+#b ##.
+#c ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+#H5 ##.
+#H6 ##.
+#H7 ##.
+#H8 ##.
+#H9 ##.
+#H10 ##.
+nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10 ##;
+ntry (nassumption) ##;
 nqed.
 
 (* -------------------------------------------------------------------------- *)