]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/ng_TPTP/GRP022-2.ma
tacticals are really tactics now, they have an AST at the same level of
[helm.git] / helm / software / matita / contribs / ng_TPTP / GRP022-2.ma
index 6dab8aacbfafcf7166fa5edc85d50125bcf232cc..fc9000626ff390da66b0afc62f1f5ccd6c63e4a6 100644 (file)
@@ -116,7 +116,7 @@ include "logic/equality.ma".
 
 (* ----Redundant two axioms *)
 ntheorem prove_inverse_of_inverse_is_original:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
(∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
 ∀a:Univ.
 ∀identity:Univ.
 ∀inverse:∀_:Univ.Univ.
@@ -125,22 +125,22 @@ ntheorem prove_inverse_of_inverse_is_original:
 ∀H1:∀X:Univ.eq Univ (multiply X identity) X.
 ∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)).
 ∀H3:∀X:Univ.eq Univ (multiply (inverse X) X) identity.
-∀H4:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (inverse (inverse a)) a
+∀H4:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (inverse (inverse a)) a)
 .
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#identity.
-#inverse.
-#multiply.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-nauto by H0,H1,H2,H3,H4;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#identity ##.
+#inverse ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+nauto by H0,H1,H2,H3,H4 ##;
 nqed.
 
 (* -------------------------------------------------------------------------- *)