Set: pp::colors
  Set: pp::unicode
  Imported 'tactic'
  Assumed: f
  Assumed: Ax1
  Assumed: Ax2
  Proved: T1
theorem T1 (a : ℕ) : f (f a > 0) :=
    eqt_elim (trans (trans (congr2 f (congr1 (congr2 Nat::gt (Ax2 a)) 0)) (Ax1 ⊥)) not_false)