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Proofgold Signed Transaction

vin
Pr498../cd94e..
PUXvN../4703f..
vout
Pr498../dd60d.. 25.00 bars
TMGzZ../fc217.. ownership of f4045.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMaeY../7b67a.. ownership of c5493.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUWhE../dcf80.. doc published by Pr4zB..
Param 27059.. : (ιιο) → ιιιιιιιιο
Known 12781.. : ∀ 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 . x9x027059.. x1 x2 x3 x4 x5 x6 x7 x8 x927059.. x1 x2 x7 x4 x5 x6 x3 x8 x9
Known 72dae.. : ∀ 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 . x9x027059.. x1 x2 x3 x4 x5 x6 x7 x8 x927059.. x1 x2 x3 x5 x4 x6 x7 x8 x9
Theorem f4045.. : ∀ 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 . x9x027059.. x1 x2 x3 x4 x5 x6 x7 x8 x927059.. x1 x2 x7 x5 x4 x6 x3 x8 x9 (proof)