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