15 lines
577 B
Text
15 lines
577 B
Text
Set: pp::colors
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Set: pp::unicode
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Proved: T
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theorem T (A : Type) (p : A → Bool) (f : A → A → A) : ∀ x y z : A,
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p (f x x) ⇒ x = y ⇒ x = z ⇒ p (f y z) :=
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ForallIntro
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(λ x : A,
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ForallIntro
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(λ x::1 : A,
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ForallIntro
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(λ x::2 : A,
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Discharge
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(λ H : p (f x x),
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Discharge
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(λ H::1 : x = x::1, Discharge (λ H::2 : x = x::2, Subst (Subst H H::1) H::2))))))
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