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Proofgold Signed Transaction

vin
PrL54../2f6c4..
PUcAv../c5259..
vout
PrL54../97a8c.. 24.97 bars
TMYZa../f05cc.. ownership of a3e5e.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMLpA../08918.. ownership of 56cc6.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUexv../8c6f4.. doc published by Pr4zB..
Param 2bd79.. : (ιιο) → ιιιιιιιο
Known 6b663.. : ∀ 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 . x8x02bd79.. x1 x2 x3 x4 x5 x6 x7 x82bd79.. x1 x2 x4 x5 x3 x6 x7 x8
Known 579a7.. : ∀ 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 . x8x02bd79.. x1 x2 x3 x4 x5 x6 x7 x82bd79.. x1 x2 x3 x4 x5 x6 x8 x7
Theorem a3e5e.. : ∀ 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 . x8x02bd79.. x1 x2 x3 x4 x5 x6 x7 x82bd79.. x1 x2 x4 x5 x3 x6 x8 x7 (proof)