Goal:
  
  P : nat -> Prop
  h : forall n : nat, (forall m : nat, m < n -> P m) -> P n
  n : nat
  IHn : forall m : nat, m < n -> P m
  m : nat
  hh : m < S n
  n0 : n <> m
  ============================
   (m < n)


DEBUG:Going to execute:
intros; Zify.zify_pre_hook; zify_elim_let; zify_op