Goal:
  
  A : Type
  B : Type
  C : Type
  P : A → B → C → Type
  c : C
  a : C
  ls1 : list C
  a0 : A
  ls2 : list A
  b : B
  ls3 : list B
  X : P a0 b c
  X2 : All2 (λ (x : A) (y : B), P x y c) ls2 ls3
  X3 : All
         (λ z : C, All2 (λ (x : A) (y : B), P x y z) (a0 :: ls2) (b :: ls3))
         ls1
  X1 : P a0 b a
  X4 : All2 (λ (x : A) (y : B), P x y a) ls2 ls3
  x : A
  y : B
  X0 : (λ (x : A) (y : B), All (P x y) (c :: ls1)) x y
  ============================
   (All (P x y) ls1)


DEBUG:Going to execute:
apply All2_from_nth_error => //; lia
Level 0: Backtrace:

Not an inductive definition.
Level 0: Backtrace:

Not an inductive definition.
Level 0: Backtrace:

Not an inductive definition.
Level 0: Backtrace:

Not an inductive definition.
Level 0: Backtrace:

Not an inductive definition.
Level 0: Backtrace:

Not an inductive definition.
Level 0: Backtrace:

Not an inductive definition.