]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/ng_TPTP/BOO021-1.ma
tacticals are really tactics now, they have an AST at the same level of
[helm.git] / helm / software / matita / contribs / ng_TPTP / BOO021-1.ma
index a85d8cad7be81f579b8b21e7c987e931f33a35e3..b7511fd987c1bbf944ad4ee4076726191f2c0ec1 100644 (file)
@@ -50,7 +50,7 @@ include "logic/equality.ma".
 
 (* ----Denial of conclusion: *)
 ntheorem prove_commutativity_of_multiply:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
(∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
 ∀a:Univ.
 ∀add:∀_:Univ.∀_:Univ.Univ.
 ∀b:Univ.
@@ -63,26 +63,26 @@ ntheorem prove_commutativity_of_multiply:
 ∀H2:∀X:Univ.∀Y:Univ.eq Univ (add (multiply X Y) Y) Y.
 ∀H3:∀X:Univ.eq Univ (add X (inverse X)) n1.
 ∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y Z)) (add (multiply Y X) (multiply Z X)).
-∀H5:∀X:Univ.∀Y:Univ.eq Univ (multiply (add X Y) Y) Y.eq Univ (multiply b a) (multiply a b)
+∀H5:∀X:Univ.∀Y:Univ.eq Univ (multiply (add X Y) Y) Y.eq Univ (multiply b a) (multiply a b))
 .
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#add.
-#b.
-#inverse.
-#multiply.
-#n0.
-#n1.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-#H5.
-nauto by H0,H1,H2,H3,H4,H5;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#add ##.
+#b ##.
+#inverse ##.
+#multiply ##.
+#n0 ##.
+#n1 ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+#H5 ##.
+nauto by H0,H1,H2,H3,H4,H5 ##;
 nqed.
 
 (* -------------------------------------------------------------------------- *)