21 lines
837 B
Text
21 lines
837 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: f
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λ x : ℕ, a = 1 → x > f (λ y : ℕ, y + 1)
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funext (λ x : ℕ,
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imp_congr
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(congr1 1 (congr2 eq (Nat::add_zeror a)))
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(λ C::4 : a = 1, congr2 (Nat::gt x) (congr2 f (funext (λ y : ℕ, congr2 (Nat::add y) C::4)))))
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λ x : ℕ, a = 1 → x = 2 → 2 > f (λ y : ℕ, y + 1 + 2)
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funext (λ x : ℕ,
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imp_congr
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(congr1 1 (congr2 eq (Nat::add_zeror a)))
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(λ C::8 : a = 1,
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imp_congr
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(refl (x = 2))
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(λ C::5 : x = 2,
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congr (congr2 Nat::gt C::5)
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(congr2 f
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(funext (λ y : ℕ, congr (congr2 Nat::add (congr2 (Nat::add y) C::8)) C::5))))))
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