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Proofgold Asset

asset id
8d5388344815fc27aae593536271cf6b2beace1228adf43b47ecae48849784da
asset hash
b8052745f96527d946e94a8326546c1c4452ffdf3cb1317b62cf0167b348fe56
bday / block
34272
tx
b990f..
preasset
doc published by Pr4zB..
Param 4ea7e.. : (ιιο) → ιιιιιιο
Param notnot : οο
Definition 5db61.. := λ x0 : ι → ι → ο . λ x1 x2 x3 x4 x5 x6 x7 . ∀ x8 : ο . (4ea7e.. 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 x7x0 x2 x7not (x0 x3 x7)not (x0 x4 x7)not (x0 x5 x7)not (x0 x6 x7)x8)x8
Known 7dd32.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)∀ x2 . x2x0∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x04ea7e.. x1 x2 x3 x4 x5 x6 x74ea7e.. x1 x2 x3 x7 x6 x5 x4
Theorem 0e25c.. : ∀ 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 . x8x05db61.. x1 x2 x3 x4 x5 x6 x7 x85db61.. x1 x2 x3 x7 x6 x5 x4 x8 (proof)