]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/ng_TPTP/GRP011-4.ma
tacticals are really tactics now, they have an AST at the same level of
[helm.git] / helm / software / matita / contribs / ng_TPTP / GRP011-4.ma
index 8e239b162c444b5f6c0e5b5450095e5ef2d7b88a..58c2ed1ede13a0aaecd4ec3cc4738c6627a31e0f 100644 (file)
@@ -50,7 +50,7 @@ include "logic/equality.ma".
 
 (* ----There exists an identity element  *)
 ntheorem prove_left_cancellation:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
(∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
 ∀b:Univ.
 ∀c:Univ.
 ∀d:Univ.
@@ -60,23 +60,23 @@ ntheorem prove_left_cancellation:
 ∀H0:eq Univ (multiply b c) (multiply d c).
 ∀H1:∀X:Univ.eq Univ (multiply (inverse X) X) identity.
 ∀H2:∀X:Univ.eq Univ (multiply identity X) X.
-∀H3:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)).eq Univ b d
+∀H3:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)).eq Univ b d)
 .
-#Univ.
-#X.
-#Y.
-#Z.
-#b.
-#c.
-#d.
-#identity.
-#inverse.
-#multiply.
-#H0.
-#H1.
-#H2.
-#H3.
-nauto by H0,H1,H2,H3;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#b ##.
+#c ##.
+#d ##.
+#identity ##.
+#inverse ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+nauto by H0,H1,H2,H3 ##;
 nqed.
 
 (* -------------------------------------------------------------------------- *)