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Proofgold Asset

asset id
8be3c3d76a3b26c912817d1c79c25aa9fe19652f7f7b24af0724fd0954573409
asset hash
e6008c24c0d0788304ce4cac387ab532caedfb1e5918f5a89191b77edeb68f7e
bday / block
36317
tx
ef0ed..
preasset
doc published by Pr4zB..
Param ae506.. : (ιιο) → ιιιιιιιο
Param notnot : οο
Definition 5b060.. := λ x0 : ι → ι → ο . λ x1 x2 x3 x4 x5 x6 x7 x8 . ∀ x9 : ο . (ae506.. x0 x1 x2 x3 x4 x5 x6 x7(x1 = x8∀ x10 : ο . x10)(x2 = x8∀ x10 : ο . x10)(x3 = x8∀ x10 : ο . x10)(x4 = x8∀ x10 : ο . x10)(x5 = x8∀ x10 : ο . x10)(x6 = x8∀ x10 : ο . x10)(x7 = x8∀ x10 : ο . x10)not (x0 x1 x8)not (x0 x2 x8)not (x0 x3 x8)x0 x4 x8not (x0 x5 x8)not (x0 x6 x8)not (x0 x7 x8)x9)x9
Known 332b1.. : ∀ 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 . x8x0ae506.. x1 x2 x3 x4 x5 x6 x7 x8ae506.. x1 x2 x3 x4 x5 x7 x6 x8
Theorem e46cc.. : ∀ 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 . x9x05b060.. x1 x2 x3 x4 x5 x6 x7 x8 x95b060.. x1 x2 x3 x4 x5 x7 x6 x8 x9 (proof)