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Proofgold Signed Transaction

vin
PrAX4../20019..
PUQWk../76349..
vout
PrAX4../0584c.. 24.93 bars
TMXYR../54d2b.. ownership of b0330.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMJWJ../d53c2.. ownership of 3b15f.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
PUMES../31c45.. doc published by Pr4zB..
Param 615f5.. : (ιιο) → ιιιιιιιιο
Known a0c14.. : ∀ 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 . x9x0615f5.. x1 x2 x3 x4 x5 x6 x7 x8 x9615f5.. x1 x2 x3 x5 x4 x6 x7 x8 x9
Known c0e79.. : ∀ 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 . x9x0615f5.. x1 x2 x3 x4 x5 x6 x7 x8 x9615f5.. x1 x2 x3 x4 x5 x6 x7 x9 x8
Theorem b0330.. : ∀ 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 . x9x0615f5.. x1 x2 x3 x4 x5 x6 x7 x8 x9615f5.. x1 x2 x3 x5 x4 x6 x7 x9 x8 (proof)