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Proofgold Signed Transaction

vin
PrHkw../b4049..
PUWfY../655f8..
vout
PrHkw../15edf.. 24.94 bars
TMRdV../16532.. ownership of 936d3.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMYup../0eccd.. ownership of 76d8a.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
PUdsw../46b59.. doc published by Pr4zB..
Param 7f677.. : (ιιο) → ιιιιιιιο
Known 36b45.. : ∀ 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 . x8x07f677.. x1 x2 x3 x4 x5 x6 x7 x87f677.. x1 x2 x8 x4 x5 x6 x7 x3
Known 84233.. : ∀ 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 . x8x07f677.. x1 x2 x3 x4 x5 x6 x7 x87f677.. x1 x2 x3 x7 x5 x6 x4 x8
Theorem 936d3.. : ∀ 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 . x8x07f677.. x1 x2 x3 x4 x5 x6 x7 x87f677.. x1 x2 x8 x7 x5 x6 x4 x3 (proof)