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Proofgold Signed Transaction

vin
Pr7tr../feebc..
PUUeE../be40c..
vout
Pr7tr../e0d50.. 5.56 bars
TMaJw../a2d5f.. ownership of 0ee78.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMFzH../8eca1.. ownership of 89306.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUamn../99bdf.. doc published by Pr4zB..
Param 49663.. : (ιιο) → ιιιιιιιιο
Known 7d05a.. : ∀ 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 . x9x049663.. x1 x2 x3 x4 x5 x6 x7 x8 x949663.. x1 x2 x4 x3 x5 x6 x7 x8 x9
Known 5dac5.. : ∀ 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 . x9x049663.. x1 x2 x3 x4 x5 x6 x7 x8 x949663.. x1 x2 x3 x4 x5 x7 x6 x8 x9
Theorem 0ee78.. : ∀ 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 . x9x049663.. x1 x2 x3 x4 x5 x6 x7 x8 x949663.. x1 x2 x4 x3 x5 x7 x6 x8 x9 (proof)