Goal:
  
  A : Type
  B : Type
  P : A → nat → B → Type
  a : B
  ls1 : list B
  a0 : A
  ls2 : list A
  n : nat
  X2 : Alli (P a0) (S n) ls1
  X3 : All (λ x : A, Alli (P x) (S n) ls1) ls2
  X1 : P a0 n a
  X4 : All (λ x : A, P x n a) ls2
  X0 : All (λ x : A, P x n a) (a0 :: ls2)
  X5 : Alli (λ (n : nat) (y : B), All (λ x : A, P x n y) (a0 :: ls2)) 
         (S n) ls1
  ============================
   (P a0 n a)


DEBUG:Going to execute:
<coq-core.plugins.ltac::auto@0> $1 $2 $3

Goals:

DEBUG:Going to execute:
easy

Goals:

DEBUG:Going to execute:
easy0 || (solve [ intuition eauto  3 with core terms ])