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ntheorem prove_these_axioms_3:
- ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.∀E:Univ.∀F:Univ.
+ (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.∀E:Univ.∀F:Univ.
∀a3:Univ.
∀b3:Univ.
∀c3:Univ.
∀inverse:∀_:Univ.Univ.
∀multiply:∀_:Univ.∀_:Univ.Univ.
-∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.∀E:Univ.∀F:Univ.eq Univ (multiply (inverse (multiply (inverse (multiply (inverse (multiply A B)) (multiply B A))) (multiply (inverse (multiply C D)) (multiply C (inverse (multiply (multiply E (inverse F)) (inverse D))))))) F) E.eq Univ (multiply (multiply a3 b3) c3) (multiply a3 (multiply b3 c3))
+∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.∀E:Univ.∀F:Univ.eq Univ (multiply (inverse (multiply (inverse (multiply (inverse (multiply A B)) (multiply B A))) (multiply (inverse (multiply C D)) (multiply C (inverse (multiply (multiply E (inverse F)) (inverse D))))))) F) E.eq Univ (multiply (multiply a3 b3) c3) (multiply a3 (multiply b3 c3)))
.
-#Univ.
-#A.
-#B.
-#C.
-#D.
-#E.
-#F.
-#a3.
-#b3.
-#c3.
-#inverse.
-#multiply.
-#H0.
-nauto by H0;
+#Univ ##.
+#A ##.
+#B ##.
+#C ##.
+#D ##.
+#E ##.
+#F ##.
+#a3 ##.
+#b3 ##.
+#c3 ##.
+#inverse ##.
+#multiply ##.
+#H0 ##.
+nauto by H0 ##;
nqed.
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