Goal:
  
  A : Type
  P : A → Type
  f : A → A
  x : A
  l : list A
  p : P x
  X : All P l
  H : ∀ x : A, P x → f x = x
  H0 : map f l = l
  ============================
   (f x :: map f l = x :: l)


DEBUG:Going to execute:
<Coq.Init.Tauto.is_unit_or_eq> flags X1; Ltac.cut X2;
            [ intro; clear id
            | Ltac.cut X1; [ exact id | constructor 1; fail ] ]
Level 0: Backtrace:

f is used in conclusion.
Level 0: Backtrace:

f is used in conclusion.
Level 0: Backtrace:

f is used in conclusion.
Level 0: Backtrace:

f is used in conclusion.
Level 0: Backtrace:

f is used in conclusion.
Level 1: Backtrace:

f is used in conclusion.
Level 0: Backtrace:

f is used in conclusion.
Level 2: Backtrace:

Not convertible.
Level 2: Backtrace:

Not convertible.
Level 2: Backtrace:

Not convertible.
Level 1: Backtrace:

Not convertible.