Set: pp::colors
  Set: pp::unicode
  Assumed: a
  Assumed: b
  Assumed: c
⊥
trans (and_congrr
           (λ C::1 : b = 0 ∧ c = 1,
              congr (congr2 neq (congr1 0 (congr2 Nat::add (and_elimr C::1))))
                    (congr1 1 (congr2 Nat::add (and_eliml C::1))))
           (λ C::7 : ⊥, refl (b = 0 ∧ c = 1)))
      (and_falser (b = 0 ∧ c = 1))
(c + 0 ≠ b + 1 ∧ b = 0 ∧ c = 1) = ⊥