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Proofgold Signed Transaction

vin
PrR45../3fae5..
PUT7c../0988b..
vout
PrR45../e1173.. 24.93 bars
TMJjK../65d36.. ownership of 82313.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMMjV../340bc.. ownership of c1d3d.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUcMy../680f7.. doc published by Pr4zB..
Param 13b0f.. : (ιιο) → ιιιιιιιο
Known f96d7.. : ∀ 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 . x8x013b0f.. x1 x2 x3 x4 x5 x6 x7 x813b0f.. x1 x2 x3 x5 x4 x6 x7 x8
Known 31401.. : ∀ 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 . x8x013b0f.. x1 x2 x3 x4 x5 x6 x7 x813b0f.. x1 x2 x3 x4 x5 x7 x6 x8
Theorem 82313.. : ∀ 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 . x8x013b0f.. x1 x2 x3 x4 x5 x6 x7 x813b0f.. x1 x2 x3 x5 x4 x7 x6 x8 (proof)