18 lines
707 B
Text
18 lines
707 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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or_congr (refl (¬ b = 0))
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(λ C::2 : ¬ ¬ b = 0,
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trans (or_congr (refl (c ≠ 0))
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(λ C::3 : ¬ c ≠ 0,
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congr (congr2 Nat::gt
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(congr (congr2 Nat::add (not_not_elim C::2)) (not_neq_elim C::3)))
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C::1))
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(or_falsel (c ≠ 0))))
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a = 1 ∧ (¬ b = 0 ∨ c ≠ 0 ∨ b + c > a) ↔ a = 1 ∧ (¬ b = 0 ∨ c ≠ 0)
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