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Proofgold Signed Transaction

vin
PrKLg../70571..
PUafr../176d3..
vout
PrKLg../62c22.. 25.00 bars
TMSq2../68085.. ownership of 3bded.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMMhq../e8393.. ownership of 897d3.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUcVQ../031b8.. doc published by Pr4zB..
Param 77ff4.. : (ιιο) → ιιιιιιιιο
Known 60c3e.. : ∀ 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 . x9x077ff4.. x1 x2 x3 x4 x5 x6 x7 x8 x977ff4.. x1 x2 x3 x5 x4 x6 x7 x8 x9
Known 1ec15.. : ∀ 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 . x9x077ff4.. x1 x2 x3 x4 x5 x6 x7 x8 x977ff4.. x1 x2 x3 x4 x5 x9 x7 x8 x6
Theorem 3bded.. : ∀ 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 . x9x077ff4.. x1 x2 x3 x4 x5 x6 x7 x8 x977ff4.. x1 x2 x3 x5 x4 x9 x7 x8 x6 (proof)