31 lines
857 B
Text
31 lines
857 B
Text
Set: pp::colors
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Set: pp::unicode
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Imported 'macros'
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Imported 'pair'
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Imported 'subtype'
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Imported 'optional'
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Using: subtype
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Using: optional
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Defined: sum_pred
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Defined: sum
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Proved: sum::inl_pred
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Proved: sum::inr_pred
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Proved: sum::inhabl
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Proved: sum::inhabr
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Defined: sum::inl
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Defined: sum::inr
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Proved: sum::inl_inj
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Proved: sum::inr_inj
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Proved: sum::distinct
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sum2.lean:88:0: error: invalid tactic command, unexpected end of file
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Proof state:
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A :
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(Type U),
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B :
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(Type U),
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n :
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sum A B,
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pred :
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(proj1 (subtype::rep n) = optional::none) ≠ (proj2 (subtype::rep n) = optional::none)
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⊢ (∃ a : A, n = subtype::abst (tuple (optional::some a), optional::none) (sum::inhabl (inhabited_intro a) B)) ∨
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(∃ b : B, n = subtype::abst (tuple optional::none, (optional::some b)) (sum::inhabr A (inhabited_intro b)))
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