]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/ng_TPTP/RNG009-5.ma
tacticals are really tactics now, they have an AST at the same level of
[helm.git] / helm / software / matita / contribs / ng_TPTP / RNG009-5.ma
index c54e35210b05514cc2e9ba8bb054fa46093c4932..b9634bf40300f1c97e71bc0f931fd0d7229a1339 100644 (file)
@@ -68,7 +68,7 @@ include "logic/equality.ma".
 
 (* ----Associativity of product  *)
 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.
@@ -82,27 +82,27 @@ ntheorem prove_commutativity:
 ∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (add X Y) Z) (add (multiply X Z) (multiply Y Z)).
 ∀H5:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y Z)) (add (multiply X Y) (multiply X Z)).
 ∀H6:∀X:Univ.eq Univ (add X (additive_inverse X)) additive_identity.
-∀H7:∀X:Univ.eq Univ (add X additive_identity) X.eq Univ (multiply a b) (multiply b a)
+∀H7:∀X:Univ.eq Univ (add X additive_identity) X.eq Univ (multiply a b) (multiply b a))
 .
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#add.
-#additive_identity.
-#additive_inverse.
-#b.
-#multiply.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-#H5.
-#H6.
-#H7.
-nauto by H0,H1,H2,H3,H4,H5,H6,H7;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#add ##.
+#additive_identity ##.
+#additive_inverse ##.
+#b ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+#H5 ##.
+#H6 ##.
+#H7 ##.
+nauto by H0,H1,H2,H3,H4,H5,H6,H7 ##;
 nqed.
 
 (* -------------------------------------------------------------------------- *)