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-(* File : GRP207-1 : TPTP v3.2.0. Released v2.4.0. *)
+(* File : GRP207-1 : TPTP v3.7.0. Released v2.4.0. *)
(* Domain : Group Theory *)
(* -------------------------------------------------------------------------- *)
ntheorem try_prove_this_axiom:
- ∀Univ:Type.∀U:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀U:Univ.∀Y:Univ.∀Z:Univ.
∀inverse:∀_:Univ.Univ.
∀multiply:∀_:Univ.∀_:Univ.Univ.
∀u:Univ.
∀x:Univ.
∀y:Univ.
∀z:Univ.
-∀H0:∀U:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply U (inverse (multiply Y (multiply (multiply (multiply Z (inverse Z)) (inverse (multiply U Y))) U)))) U.eq Univ (multiply x (inverse (multiply y (multiply (multiply (multiply z (inverse z)) (inverse (multiply u y))) x)))) u
+∀H0:∀U:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply U (inverse (multiply Y (multiply (multiply (multiply Z (inverse Z)) (inverse (multiply U Y))) U)))) U.eq Univ (multiply x (inverse (multiply y (multiply (multiply (multiply z (inverse z)) (inverse (multiply u y))) x)))) u)
.
-#Univ.
-#U.
-#Y.
-#Z.
-#inverse.
-#multiply.
-#u.
-#x.
-#y.
-#z.
-#H0.
-nauto by H0;
+#Univ ##.
+#U ##.
+#Y ##.
+#Z ##.
+#inverse ##.
+#multiply ##.
+#u ##.
+#x ##.
+#y ##.
+#z ##.
+#H0 ##.
+nauto by H0 ##;
+ntry (nassumption) ##;
nqed.
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