]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/ng_TPTP/RNG016-6.ma
tacticals are really tactics now, they have an AST at the same level of
[helm.git] / helm / software / matita / contribs / ng_TPTP / RNG016-6.ma
index 59a382195a4b8a26ff97044460a5bdce518501fe..c13b880e9545c8441180426b093adeb362359293 100644 (file)
@@ -110,7 +110,7 @@ include "logic/equality.ma".
 
 (* -------------------------------------------------------------------------- *)
 ntheorem prove_distributivity:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
(∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
 ∀add:∀_:Univ.∀_:Univ.Univ.
 ∀additive_identity:Univ.
 ∀additive_inverse:∀_:Univ.Univ.
@@ -134,37 +134,37 @@ ntheorem prove_distributivity:
 ∀H11:∀X:Univ.eq Univ (multiply X additive_identity) additive_identity.
 ∀H12:∀X:Univ.eq Univ (multiply additive_identity X) additive_identity.
 ∀H13:∀X:Univ.eq Univ (add X additive_identity) X.
-∀H14:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (multiply (add x (additive_inverse y)) z) (add (multiply x z) (additive_inverse (multiply y z)))
+∀H14:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (multiply (add x (additive_inverse y)) z) (add (multiply x z) (additive_inverse (multiply y z))))
 .
-#Univ.
-#X.
-#Y.
-#Z.
-#add.
-#additive_identity.
-#additive_inverse.
-#associator.
-#commutator.
-#multiply.
-#x.
-#y.
-#z.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-#H5.
-#H6.
-#H7.
-#H8.
-#H9.
-#H10.
-#H11.
-#H12.
-#H13.
-#H14.
-nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#add ##.
+#additive_identity ##.
+#additive_inverse ##.
+#associator ##.
+#commutator ##.
+#multiply ##.
+#x ##.
+#y ##.
+#z ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+#H5 ##.
+#H6 ##.
+#H7 ##.
+#H8 ##.
+#H9 ##.
+#H10 ##.
+#H11 ##.
+#H12 ##.
+#H13 ##.
+#H14 ##.
+nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14 ##;
 nqed.
 
 (* -------------------------------------------------------------------------- *)