(* -------------------------------------------------------------------------- *)
-(* File : COL058-1 : TPTP v3.2.0. Released v1.0.0. *)
+(* File : COL058-1 : TPTP v3.7.0. Released v1.0.0. *)
(* Domain : Combinatory Logic *)
(* ---- Hypothesis: There exists a bird x that is fond of itself. *)
ntheorem prove_the_bird_exists:
- ∀Univ:Type.∀X:Univ.∀X1:Univ.∀X2:Univ.
+ (∀Univ:Type.∀X:Univ.∀X1:Univ.∀X2:Univ.
∀lark:Univ.
∀response:∀_:Univ.∀_:Univ.Univ.
-∀H0:∀X1:Univ.∀X2:Univ.eq Univ (response (response lark X1) X2) (response X1 (response X2 X2)).∃X:Univ.eq Univ (response X X) X
+∀H0:∀X1:Univ.∀X2:Univ.eq Univ (response (response lark X1) X2) (response X1 (response X2 X2)).∃X:Univ.eq Univ (response X X) X)
.
-#Univ.
-#X.
-#X1.
-#X2.
-#lark.
-#response.
-#H0.
-napply ex_intro[
-nid2:
-nauto by H0;
-nid|
-skip]
+#Univ ##.
+#X ##.
+#X1 ##.
+#X2 ##.
+#lark ##.
+#response ##.
+#H0 ##.
+napply (ex_intro ? ? ? ?) ##[
+##2:
+nauto by H0 ##;
+##| ##skip ##]
+ntry (nassumption) ##;
nqed.
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