fact: Axiom thm_LAMBDA_TRIPLE : forall {A B C D : Type'}, forall f : A -> B -> C -> D, (@GABS ((prod A (prod B C)) -> D) (fun f' : (prod A (prod B C)) -> D => forall x : A, forall y : B, forall z : C, @GEQ D (f' (@pair A (prod B C) x (@pair B C y z))) (f x y z))) = (fun t : prod A (prod B C) => f (@fst A (prod B C) t) (@fst B C (@snd A (prod B C) t)) (@snd B C (@snd A (prod B C) t))).
imports: coq theory_hol types terms axioms