Goal:
    A : Type  P : A → Type  Q : A → Type
  ============================
   (All P [] × All Q [])


DEBUG:Going to execute:
fun => <coq-core.plugins.ltac::split@0>

Goals:
    A : Type  P : A → Type  Q : A → Type
  ============================
   (All P [])

    A : Type  P : A → Type  Q : A → Type
  ============================
   (All Q [])


DEBUG:Going to execute:
<Coq.Init.Tauto.not_dep_intros>

Goals:
    A : Type  P : A → Type  Q : A → Type
  ============================
   (All P [])

    A : Type  P : A → Type  Q : A → Type
  ============================
   (All Q [])


DEBUG:Going to execute:
repeat
            match goal with
            | |- ?X1 → ?X2 => intro
            | |- ¬ _ => unfold not at 1; intro
            end