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Proofgold Signed Transaction

vin
PrM6T../da37d..
PUduN../cb54d..
vout
PrM6T../2c187.. 24.86 bars
TMJCn../6b0d3.. ownership of 8a25b.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMR4Q../a33a4.. ownership of 7b3e0.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUVas../58318.. doc published by Pr4zB..
Param 6ca1f.. : (ιιο) → ιιιιιιιο
Param notnot : οο
Definition 1b190.. := λ x0 : ι → ι → ο . λ x1 x2 x3 x4 x5 x6 x7 x8 . ∀ x9 : ο . (6ca1f.. 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 x8x0 x2 x8not (x0 x3 x8)not (x0 x4 x8)not (x0 x5 x8)not (x0 x6 x8)not (x0 x7 x8)x9)x9
Known f76d7.. : ∀ 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 . x8x06ca1f.. x1 x2 x3 x4 x5 x6 x7 x86ca1f.. x1 x2 x3 x5 x4 x6 x8 x7
Theorem 8a25b.. : ∀ 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 . x9x01b190.. x1 x2 x3 x4 x5 x6 x7 x8 x91b190.. x1 x2 x3 x5 x4 x6 x8 x7 x9 (proof)