Goal:
  
  A : Type
  B : Type
  C : Type
  P : A → B → C → Type
  a : C
  ls1 : list C
  a0 : A
  ls2 : list A
  b : B
  ls3 : list B
  X1 : All2 (λ (x : A) (y : B), All (P x y) (a :: ls1)) ls2 ls3
  X : P a0 b a
  X2 : All (P a0 b) ls1
  ============================
   (All2 (λ (x : A) (y : B), All (P x y) ls1) ls2 ls3)


DEBUG:Going to execute:
is_ctor_list x; inversion H; clear H
Level 4: x
 has value 
ls3

Level 4: Backtrace:

No matching clauses for match.
Level 3: Backtrace:

No matching clauses for match.
Level 3: evaluation
raised the exception
Backtrace:

No matching clauses for match.

Level 2: Backtrace:

No matching clauses for match.
Level 2: Backtrace:

No applicable tactic.
Level 2: Backtrace:

No applicable tactic.
Level 2: Backtrace:

No applicable tactic.