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Proofgold Address

address
PUPRPKeSHxMCVzqdrdCpJ4obgGDVim7mYRd
total
0
mg
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conjpub
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current assets
340ef../d9cdf.. bday: 34853 doc published by Pr4zB..
Param 9ab39.. : (ιιο) → ιιιιιιο
Param notnot : οο
Definition 1c500.. := λ x0 : ι → ι → ο . λ x1 x2 x3 x4 x5 x6 x7 . ∀ x8 : ο . (9ab39.. x0 x1 x2 x3 x4 x5 x6(x1 = x7∀ x9 : ο . x9)(x2 = x7∀ x9 : ο . x9)(x3 = x7∀ x9 : ο . x9)(x4 = x7∀ x9 : ο . x9)(x5 = x7∀ x9 : ο . x9)(x6 = x7∀ x9 : ο . x9)x0 x1 x7not (x0 x2 x7)not (x0 x3 x7)not (x0 x4 x7)x0 x5 x7x0 x6 x7x8)x8
Known 43dac.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)∀ x2 . x2x0∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x09ab39.. x1 x2 x3 x4 x5 x6 x79ab39.. x1 x2 x4 x5 x3 x6 x7
Theorem cfa67.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)∀ x2 . x2x0∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x01c500.. x1 x2 x3 x4 x5 x6 x7 x81c500.. x1 x2 x4 x5 x3 x6 x7 x8 (proof)

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