]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/ng_TPTP/BOO001-1.ma
tacticals are really tactics now, they have an AST at the same level of
[helm.git] / helm / software / matita / contribs / ng_TPTP / BOO001-1.ma
index 265fa9fa10d78e34b139d79f00dd09039f6c2734..6ea0eaa9fc2359e4232259503e1e9e6a928d1bed 100644 (file)
@@ -94,7 +94,7 @@ include "logic/equality.ma".
 
 (* -------------------------------------------------------------------------- *)
 ntheorem prove_inverse_is_self_cancelling:
- ∀Univ:Type.∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.
(∀Univ:Type.∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.
 ∀a:Univ.
 ∀inverse:∀_:Univ.Univ.
 ∀multiply:∀_:Univ.∀_:Univ.∀_:Univ.Univ.
@@ -102,23 +102,23 @@ ntheorem prove_inverse_is_self_cancelling:
 ∀H1:∀X:Univ.∀Y:Univ.eq Univ (multiply (inverse Y) Y X) X.
 ∀H2:∀X:Univ.∀Y:Univ.eq Univ (multiply X X Y) X.
 ∀H3:∀X:Univ.∀Y:Univ.eq Univ (multiply Y X X) X.
-∀H4:∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply V W X) Y (multiply V W Z)) (multiply V W (multiply X Y Z)).eq Univ (inverse (inverse a)) a
+∀H4:∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply V W X) Y (multiply V W Z)) (multiply V W (multiply X Y Z)).eq Univ (inverse (inverse a)) a)
 .
-#Univ.
-#V.
-#W.
-#X.
-#Y.
-#Z.
-#a.
-#inverse.
-#multiply.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-nauto by H0,H1,H2,H3,H4;
+#Univ ##.
+#V ##.
+#W ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#inverse ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+nauto by H0,H1,H2,H3,H4 ##;
 nqed.
 
 (* -------------------------------------------------------------------------- *)