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-(* File : GRP117-1 : TPTP v3.2.0. Released v1.2.0. *)
+(* File : GRP117-1 : TPTP v3.7.0. Released v1.2.0. *)
(* Domain : Group Theory *)
(* -------------------------------------------------------------------------- *)
ntheorem prove_order3:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀a:Univ.
∀identity:Univ.
∀multiply:∀_:Univ.∀_:Univ.Univ.
-∀H0:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (multiply (multiply X (multiply (multiply X Y) Z)) (multiply identity (multiply Z Z)))) Y.eq Univ (multiply a identity) a
+∀H0:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (multiply (multiply X (multiply (multiply X Y) Z)) (multiply identity (multiply Z Z)))) Y.eq Univ (multiply a identity) a)
.
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#identity.
-#multiply.
-#H0.
-nauto by H0;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#identity ##.
+#multiply ##.
+#H0 ##.
+nauto by H0 ##;
+ntry (nassumption) ##;
nqed.
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