Set: pp::colors
  Set: pp::unicode
  Assumed: a
  Assumed: b
  Assumed: f
λ x : ℕ, a = 1 → x > f (λ y : ℕ, y + 1)
funext (λ x : ℕ,
          imp_congr
              (congr1 1 (congr2 eq (Nat::add_zeror a)))
              (λ C::4 : a = 1, congr2 (Nat::gt x) (congr2 f (funext (λ y : ℕ, congr2 (Nat::add y) C::4)))))
λ x : ℕ, a = 1 → x = 2 → 2 > f (λ y : ℕ, y + 1 + 2)
funext (λ x : ℕ,
          imp_congr
              (congr1 1 (congr2 eq (Nat::add_zeror a)))
              (λ C::8 : a = 1,
                 imp_congr
                     (refl (x = 2))
                     (λ C::5 : x = 2,
                        congr (congr2 Nat::gt C::5)
                              (congr2 f
                                      (funext (λ y : ℕ, congr (congr2 Nat::add (congr2 (Nat::add y) C::8)) C::5))))))