Goal:
  
  A : Type
  P : A → Type
  Q : A → Type
  x : A
  l : list A
  X : All (λ x : A, P x × Q x) l
  a : P x
  b : Q x
  a0 : All P l
  b0 : All Q l
  ============================
   (All P (x :: l))


DEBUG:Going to execute:
match goal with
           | |- _ → _ => intro; t_tauto_intuit
           | |- _ => t_reduce; t_solver
           end