(* -------------------------------------------------------------------------- *)
-(* File : COL085-1 : TPTP v3.2.0. Released v2.6.0. *)
+(* File : COL085-1 : TPTP v3.7.0. Released v2.6.0. *)
(* Domain : Combinatory Logic *)
(* -------------------------------------------------------------------------- *)
ntheorem prove_happiness_1:
- ∀Univ:Type.∀A:Univ.∀B:Univ.
+ (∀Univ:Type.∀A:Univ.∀B:Univ.
∀a:Univ.
∀b:Univ.
∀response:∀_:Univ.∀_:Univ.Univ.
-∀H0:eq Univ (response a b) b.∃A:Univ.∃B:Univ.eq Univ (response a A) B
+∀H0:eq Univ (response a b) b.∃A:Univ.∃B:Univ.eq Univ (response a A) B)
.
-#Univ.
-#A.
-#B.
-#a.
-#b.
-#response.
-#H0.
-napply ex_intro[
-nid2:
-napply ex_intro[
-nid2:
-nauto by H0;
-nid|
-skip]
-nid|
-skip]
+#Univ ##.
+#A ##.
+#B ##.
+#a ##.
+#b ##.
+#response ##.
+#H0 ##.
+napply (ex_intro ? ? ? ?) ##[
+##2:
+napply (ex_intro ? ? ? ?) ##[
+##2:
+nauto by H0 ##;
+##| ##skip ##]
+##| ##skip ##]
+ntry (nassumption) ##;
nqed.
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