]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/ng_TPTP/GRP001-4.ma
tacticals are really tactics now, they have an AST at the same level of
[helm.git] / helm / software / matita / contribs / ng_TPTP / GRP001-4.ma
index dcf656eba06f4fbbd8adc3667d1bb27aebbe8007..4c8585c23302dd02b35d54fce7cb4809685a301f 100644 (file)
@@ -54,7 +54,7 @@ include "logic/equality.ma".
 
 (* ----There exists an identity element 'e' defined below. *)
 ntheorem prove_b_times_a_is_c:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
(∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
 ∀a:Univ.
 ∀b:Univ.
 ∀c:Univ.
@@ -63,22 +63,22 @@ ntheorem prove_b_times_a_is_c:
 ∀H0:eq Univ (multiply a b) c.
 ∀H1:∀X:Univ.eq Univ (multiply 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 (multiply b a) c
+∀H3:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)).eq Univ (multiply b a) c)
 .
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#b.
-#c.
-#identity.
-#multiply.
-#H0.
-#H1.
-#H2.
-#H3.
-nauto by H0,H1,H2,H3;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#b ##.
+#c ##.
+#identity ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+nauto by H0,H1,H2,H3 ##;
 nqed.
 
 (* -------------------------------------------------------------------------- *)