(* -------------------------------------------------------------------------- *)
-(* File : SYN305-1 : TPTP v3.2.0. Released v1.2.0. *)
+(* File : SYN305-1 : TPTP v3.7.0. Released v1.2.0. *)
(* Domain : Syntactic *)
(* -------------------------------------------------------------------------- *)
ntheorem clause3:
- ∀Univ:Type.∀X:Univ.
+ (∀Univ:Type.∀X:Univ.
∀f:∀_:Univ.Univ.
∀g1:∀_:Univ.Univ.
∀g2:∀_:Univ.Univ.
∀H0:∀X:Univ.eq Univ (f (g2 X)) X.
-∀H1:∀X:Univ.eq Univ (f (g1 X)) X.∃X:Univ.eq Univ (g1 X) (g2 X)
+∀H1:∀X:Univ.eq Univ (f (g1 X)) X.∃X:Univ.eq Univ (g1 X) (g2 X))
.
-#Univ.
-#X.
-#f.
-#g1.
-#g2.
-#H0.
-#H1.
-napply ex_intro[
-nid2:
-nauto by H0,H1;
-nid|
-skip]
+#Univ ##.
+#X ##.
+#f ##.
+#g1 ##.
+#g2 ##.
+#H0 ##.
+#H1 ##.
+napply (ex_intro ? ? ? ?) ##[
+##2:
+nauto by H0,H1 ##;
+##| ##skip ##]
+ntry (nassumption) ##;
nqed.
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