21 lines
376 B
Text
21 lines
376 B
Text
p q : Prop,
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Hp : p
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⊢ q ∨ p
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p q : Prop,
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Hq : q
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⊢ q ∨ p
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-----
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⊢ 0 = 0 ∨ 0 = succ (pred 0)
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n' : ℕ,
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Hind : n' = 0 ∨ n' = succ (pred n')
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⊢ succ n' = 0 ∨ succ n' = succ (pred (succ n'))
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-----
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H : 0 ≠ 0
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⊢ 0 > 0 → 0 = succ (pred 0)
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a : ℕ,
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ih_1 : a ≠ 0 → a > 0 → a = succ (pred a),
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H : succ a ≠ 0
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⊢ succ a > 0 → succ a = succ (pred (succ a))
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