(* -------------------------------------------------------------------------- *)
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:eq Univ (multiply identity identity) identity.
-∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply Y (multiply (multiply Y (multiply (multiply Y Y) (multiply X Z))) (multiply Z (multiply Z Z)))) X.eq Univ (multiply a identity) a
+∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply Y (multiply (multiply Y (multiply (multiply Y Y) (multiply X Z))) (multiply Z (multiply Z Z)))) X.eq Univ (multiply a identity) a)
.
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#identity.
-#multiply.
-#H0.
-#H1.
-nauto by H0,H1;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#identity ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+nauto by H0,H1 ##;
nqed.
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