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Proofgold Asset

asset id
e2a2974deb00a524a1098b2964a48d367d2d116ae7a752909c39c790dbda2e82
asset hash
f7e5c94e9678500842b00a5641e52cdfaace90ece719d4020126e8da2879e180
bday / block
35801
tx
e3a06..
preasset
doc published by Pr4zB..
Param 84d5a.. : (ιιο) → ιιιιιιιιο
Param notnot : οο
Definition 1a9fd.. := λ x0 : ι → ι → ο . λ x1 x2 x3 x4 x5 x6 x7 x8 x9 . ∀ x10 : ο . (84d5a.. x0 x1 x2 x3 x4 x5 x6 x7 x8(x1 = x9∀ x11 : ο . x11)(x2 = x9∀ x11 : ο . x11)(x3 = x9∀ x11 : ο . x11)(x4 = x9∀ x11 : ο . x11)(x5 = x9∀ x11 : ο . x11)(x6 = x9∀ x11 : ο . x11)(x7 = x9∀ x11 : ο . x11)(x8 = x9∀ x11 : ο . x11)x0 x1 x9not (x0 x2 x9)not (x0 x3 x9)not (x0 x4 x9)x0 x5 x9x0 x6 x9not (x0 x7 x9)x0 x8 x9x10)x10
Known 66d08.. : ∀ 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 . x8x0∀ x9 . x9x084d5a.. x1 x2 x3 x4 x5 x6 x7 x8 x984d5a.. x1 x2 x3 x5 x4 x6 x7 x8 x9
Theorem c6e1e.. : ∀ 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 . x8x0∀ x9 . x9x0∀ x10 . x10x01a9fd.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x101a9fd.. x1 x2 x3 x5 x4 x6 x7 x8 x9 x10 (proof)