Goal:
  
  A : Type
  B : Type
  map_InP : ∀ (H := fixproto) (l : list A), (∀ x : A, In x l → B) → list B
  x0 : A
  xs : list A
  f : ∀ x : A, In x (x0 :: xs) → B
  x : A
  inx : In x xs
  ============================
   (In x (x0 :: xs))


DEBUG:Going to execute:
Tactics.program_simplify; try typeclasses eauto  10 with program;
            try Tactics.program_solve_wf