SetOption pp::colors false
Variable N : Type
Variables a b c : N
Variables P : N -> N -> N -> Bool

SetOpaque forall  false.
SetOpaque exists  false.
SetOpaque not     false.

Theorem T1 (f : N -> N) (H : P (f a) b (f (f c))) : exists x y z, P x y z := ExistsIntro _ (ExistsIntro _ (ExistsIntro _ H))

Show Environment 1.