Goal:
  
  A : Type
  P : A → bool
  a : A
  l : list A
  n : nat
  IHl : ∀ n : nat,
          forallb P l → on_Some_or_None (λ x : A, P x) (nth_error l n)
  H0 : is_true (P a)
  H1 : is_true (forallb P l)
  ============================
   (on_Some_or_None (λ x : A, P x) (nth_error l n))


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

Goals:

DEBUG:Going to execute:
easy

Goals:

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