Goal:
  
  A : Type
  P : A → Prop
  p : A → bool
  q : A → bool
  H : ∀ x : A, P x → p x = q x
  ============================
   (true = true)


DEBUG:Going to execute:
<Coq.Init.Tauto.is_conj> flags X1; elim id; do 2 intro