Set: pp::colors
  Set: pp::unicode
  Assumed: a
  Assumed: b
  Assumed: c
a = 1 ∧ (¬ b = 0 ∨ c ≠ 0)
and_congr
    (refl (a = 1))
    (λ C::7 : a = 1,
       trans (or_congr (or_congr (refl (¬ b = 0)) (λ C::2 : ¬ ¬ b = 0, congr2 (neq c) (not_not_elim C::2)))
                       (λ C::6 : ¬ (¬ b = 0 ∨ c ≠ 0),
                          congr (congr2 Nat::gt
                                        (congr (congr2 Nat::add (not_not_elim (and_eliml (not_or_elim C::6))))
                                               (not_neq_elim (and_elimr (not_or_elim C::6)))))
                                C::7))
             (or_falsel (¬ b = 0 ∨ c ≠ 0)))
a = 1 ∧ ((¬ b = 0 ∨ c ≠ b) ∨ b + c > a) ↔ a = 1 ∧ (¬ b = 0 ∨ c ≠ 0)