fact: Definition eq_ex2 {A : Prop} {P Q : A -> Prop} (u v : exists2 a : A, P a & Q a) (p : ex_proj1 u = ex_proj1 v) (q : rew p in ex_proj2 u = ex_proj2 v) (r : rew p in ex_proj3 u = ex_proj3 v) : u = v := eq_ex2_uncurried u v (ex_intro2 _ _ p q r).
imports: Notations Ltac