]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/ng_TPTP/RNG026-7.ma
tacticals are really tactics now, they have an AST at the same level of
[helm.git] / helm / software / matita / contribs / ng_TPTP / RNG026-7.ma
index 08863a0dafc0c654f79ac0527a3292b41f15c4de..9385d8b8d4da531e8f2ba1cbe85bd8e470a8a483 100644 (file)
@@ -112,7 +112,7 @@ include "logic/equality.ma".
 
 (* ----The next 7 clause are extra lemmas which Stevens found useful  *)
 ntheorem prove_teichmuller_identity:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
(∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
 ∀a:Univ.
 ∀add:∀_:Univ.∀_:Univ.Univ.
 ∀additive_identity:Univ.
@@ -144,45 +144,45 @@ ntheorem prove_teichmuller_identity:
 ∀H18:∀X:Univ.eq Univ (multiply X additive_identity) additive_identity.
 ∀H19:∀X:Univ.eq Univ (multiply additive_identity X) additive_identity.
 ∀H20:∀X:Univ.eq Univ (add X additive_identity) X.
-∀H21:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (add (add (associator (multiply a b) c d) (associator a b (multiply c d))) (additive_inverse (add (add (associator a (multiply b c) d) (multiply a (associator b c d))) (multiply (associator a b c) d)))) additive_identity
+∀H21:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (add (add (associator (multiply a b) c d) (associator a b (multiply c d))) (additive_inverse (add (add (associator a (multiply b c) d) (multiply a (associator b c d))) (multiply (associator a b c) d)))) additive_identity)
 .
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#add.
-#additive_identity.
-#additive_inverse.
-#associator.
-#b.
-#c.
-#commutator.
-#d.
-#multiply.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-#H5.
-#H6.
-#H7.
-#H8.
-#H9.
-#H10.
-#H11.
-#H12.
-#H13.
-#H14.
-#H15.
-#H16.
-#H17.
-#H18.
-#H19.
-#H20.
-#H21.
-nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15,H16,H17,H18,H19,H20,H21;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#add ##.
+#additive_identity ##.
+#additive_inverse ##.
+#associator ##.
+#b ##.
+#c ##.
+#commutator ##.
+#d ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+#H5 ##.
+#H6 ##.
+#H7 ##.
+#H8 ##.
+#H9 ##.
+#H10 ##.
+#H11 ##.
+#H12 ##.
+#H13 ##.
+#H14 ##.
+#H15 ##.
+#H16 ##.
+#H17 ##.
+#H18 ##.
+#H19 ##.
+#H20 ##.
+#H21 ##.
+nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15,H16,H17,H18,H19,H20,H21 ##;
 nqed.
 
 (* -------------------------------------------------------------------------- *)