(* -------------------------------------------------------------------------- *)
-(* File : BOO019-1 : TPTP v3.2.0. Released v1.2.0. *)
+(* File : BOO019-1 : TPTP v3.7.0. Released v1.2.0. *)
(* Domain : Boolean Algebra (Ternary) *)
(* -------------------------------------------------------------------------- *)
ntheorem prove_ternary_multiply_1_independant:
- ∀Univ:Type.∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀inverse:∀_:Univ.Univ.
∀multiply:∀_:Univ.∀_:Univ.∀_:Univ.Univ.
∀x:Univ.
∀H0:∀X:Univ.∀Y:Univ.eq Univ (multiply X Y (inverse Y)) X.
∀H1:∀X:Univ.∀Y:Univ.eq Univ (multiply (inverse Y) Y X) X.
∀H2:∀X:Univ.∀Y:Univ.eq Univ (multiply X X Y) X.
-∀H3:∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply V W X) Y (multiply V W Z)) (multiply V W (multiply X Y Z)).eq Univ (multiply y x x) x
+∀H3:∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply V W X) Y (multiply V W Z)) (multiply V W (multiply X Y Z)).eq Univ (multiply y x x) x)
.
-#Univ.
-#V.
-#W.
-#X.
-#Y.
-#Z.
-#inverse.
-#multiply.
-#x.
-#y.
-#H0.
-#H1.
-#H2.
-#H3.
-nauto by H0,H1,H2,H3;
+#Univ ##.
+#V ##.
+#W ##.
+#X ##.
+#Y ##.
+#Z ##.
+#inverse ##.
+#multiply ##.
+#x ##.
+#y ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+nauto by H0,H1,H2,H3 ##;
+ntry (nassumption) ##;
nqed.
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