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Proofgold Signed Transaction

vin
Pr5Wn../b93f1..
PULe9../3ffff..
vout
Pr5Wn../ee7d1.. 12.37 bars
TMRZG../71787.. ownership of d7cf2.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMTwX../fa758.. ownership of 64599.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUQhv../f025a.. doc published by Pr4zB..
Param ccd93.. : (ιιο) → ιιιιιιιιο
Known 0f7d3.. : ∀ 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 . x9x0ccd93.. x1 x2 x3 x4 x5 x6 x7 x8 x9ccd93.. x1 x2 x3 x5 x4 x6 x7 x8 x9
Known 13417.. : ∀ 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 . x9x0ccd93.. x1 x2 x3 x4 x5 x6 x7 x8 x9ccd93.. x1 x2 x3 x4 x5 x7 x6 x8 x9
Theorem d7cf2.. : ∀ 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 . x9x0ccd93.. x1 x2 x3 x4 x5 x6 x7 x8 x9ccd93.. x1 x2 x3 x5 x4 x7 x6 x8 x9 (proof)