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Proofgold Asset

asset id
6d78249ffb6bc907cb2970f2d760b7ca5de96b76408d28afdeb2b631678a2762
asset hash
0124fbf33f785ff972b23eafac3cd695c95ed76d92d5eca1f2c5b5fa71b27fa0
bday / block
35526
tx
92186..
preasset
doc published by Pr4zB..
Param 836ee.. : (ιιο) → ιιιιιιιο
Param notnot : οο
Definition 725c8.. := λ x0 : ι → ι → ο . λ x1 x2 x3 x4 x5 x6 x7 x8 . ∀ x9 : ο . (836ee.. 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 78d60.. : ∀ 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 . x8x0836ee.. x1 x2 x3 x4 x5 x6 x7 x8836ee.. x1 x2 x3 x5 x4 x7 x6 x8
Theorem 81781.. : ∀ 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 . x9x0725c8.. x1 x2 x3 x4 x5 x6 x7 x8 x9725c8.. x1 x2 x3 x5 x4 x7 x6 x8 x9 (proof)