]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/ng_TPTP/ALG005-1.ma
tacticals are really tactics now, they have an AST at the same level of
[helm.git] / helm / software / matita / contribs / ng_TPTP / ALG005-1.ma
index a3209c30d10460481a908a7e6049452bc573fff4..9837b441777dce5633325d3a5a8dcb12d9b2b875 100644 (file)
@@ -54,7 +54,7 @@ include "logic/equality.ma".
 
 (* ----Denial of associativity: *)
 ntheorem prove_associativity_of_multiply:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
(∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
 ∀a:Univ.
 ∀b:Univ.
 ∀c:Univ.
@@ -63,22 +63,22 @@ ntheorem prove_associativity_of_multiply:
 ∀H0:∀X:Univ.∀Y:Univ.eq Univ (multiply X Y) (difference X (difference X Y)).
 ∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (difference (difference X Y) Z) (difference (difference X Z) (difference Y Z)).
 ∀H2:∀X:Univ.∀Y:Univ.eq Univ (difference X (difference X Y)) (difference Y (difference Y X)).
-∀H3:∀X:Univ.∀Y:Univ.eq Univ (difference X (difference Y X)) X.eq Univ (multiply (multiply a b) c) (multiply a (multiply b c))
+∀H3:∀X:Univ.∀Y:Univ.eq Univ (difference X (difference Y X)) X.eq Univ (multiply (multiply a b) c) (multiply a (multiply b c)))
 .
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#b.
-#c.
-#difference.
-#multiply.
-#H0.
-#H1.
-#H2.
-#H3.
-nauto by H0,H1,H2,H3;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#b ##.
+#c ##.
+#difference ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+nauto by H0,H1,H2,H3 ##;
 nqed.
 
 (* -------------------------------------------------------------------------- *)