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_empty> flags X1; elim H
Level 2: Backtrace:

In environment
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
Unable to unify "x :: l" with "f x :: map f l".
Level 2: Backtrace:

In environment
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
Unable to unify "x :: l" with "f x :: map f l".
Level 3: Backtrace:

In environment
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
Unable to unify "x :: l" with "f x :: map f l".
Level 3: Backtrace:

In environment
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
Unable to unify "x :: l" with "f x :: map f l".
Level 2: Backtrace:

In environment
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
Unable to unify "x :: l" with "f x :: map f l".
Level 2: Backtrace:

In environment
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
Unable to unify "x :: l" with "f x :: map f l".