]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/ng_TPTP/GRP002-3.ma
tacticals are really tactics now, they have an AST at the same level of
[helm.git] / helm / software / matita / contribs / ng_TPTP / GRP002-3.ma
index 9051aaa60c5a9b4b077e83ffb2ad370b10054d75..76250c141845a878b750fcb71199bf1a96157e6d 100644 (file)
@@ -136,7 +136,7 @@ include "logic/equality.ma".
 
 (* ----Definition of the commutator  *)
 ntheorem prove_commutator:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
(∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
 ∀a:Univ.
 ∀b:Univ.
 ∀commutator:∀_:Univ.∀_:Univ.Univ.
@@ -147,24 +147,24 @@ ntheorem prove_commutator:
 ∀H1:∀X:Univ.∀Y:Univ.eq Univ (commutator X Y) (multiply X (multiply Y (multiply (inverse X) (inverse Y)))).
 ∀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 (commutator (commutator a b) b) identity
+∀H4:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (commutator (commutator a b) b) identity)
 .
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#b.
-#commutator.
-#identity.
-#inverse.
-#multiply.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-nauto by H0,H1,H2,H3,H4;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#b ##.
+#commutator ##.
+#identity ##.
+#inverse ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+nauto by H0,H1,H2,H3,H4 ##;
 nqed.
 
 (* -------------------------------------------------------------------------- *)