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Proofgold Asset

asset id
13f4c7509edaebb0a5a7d2113ffbae5458d5cba21e3596de75e9f29d6ebb96ba
asset hash
9e39602c9178cdf432a3005a7d4fb84935fb7f5cd0a5615152bcaaee19274315
bday / block
34853
tx
42715..
preasset
doc published by Pr4zB..
Param 468d8.. : (ιιο) → ιιιιιιιο
Param notnot : οο
Definition c1515.. := λ x0 : ι → ι → ο . λ x1 x2 x3 x4 x5 x6 x7 x8 . ∀ x9 : ο . (468d8.. 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)x0 x1 x8not (x0 x2 x8)not (x0 x3 x8)not (x0 x4 x8)not (x0 x5 x8)not (x0 x6 x8)not (x0 x7 x8)x9)x9
Known 0021e.. : ∀ 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 . x8x0468d8.. x1 x2 x3 x4 x5 x6 x7 x8468d8.. x1 x2 x3 x4 x5 x7 x6 x8
Theorem 0bc98.. : ∀ 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 . x9x0c1515.. x1 x2 x3 x4 x5 x6 x7 x8 x9c1515.. x1 x2 x3 x4 x5 x7 x6 x8 x9 (proof)