Goal:
  
  A : Type
  a : A
  l : list A
  P : A → bool
  d : A
  IHl : ∀ n : nat, forallb P l → n < #|l| → ∃ x : A, nth n l d = x ∧ P x
  pa : is_true (P a)
  pl : is_true (forallb P l)
  pn : 0 < S #|l|
  ============================
   (is_true (P a))


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

Goals:

DEBUG:Going to execute:
repeat (do_intro; try do_atom)

Goals:

DEBUG:Going to execute:
try arith_congr

Goals:

DEBUG:Going to execute:
solve [ split; do_ccl ]