]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/ng_TPTP/RNG036-7.ma
tacticals are really tactics now, they have an AST at the same level of
[helm.git] / helm / software / matita / contribs / ng_TPTP / RNG036-7.ma
index 96e40b2f02c524fb1c18a86b494623cf7b080045..cb3a5d1a58a65ee51201feb400c06699ca6f7c53 100644 (file)
@@ -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 +122,31 @@ 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 ##;
 nqed.
 
 (* -------------------------------------------------------------------------- *)