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Proofgold Signed Transaction

vin
Pr8FL../b03e9..
PUXbW../b975b..
vout
Pr8FL../9fcb5.. 25.00 bars
TMYJR../235c6.. ownership of ca2a2.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMUjU../4bf18.. ownership of c33ce.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUb8K../4b4af.. doc published by Pr4zB..
Param fba9e.. : (ιιο) → ιιιιιιο
Known 6f5ee.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)∀ x2 . x2x0∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0fba9e.. x1 x2 x3 x4 x5 x6 x7fba9e.. x1 x2 x4 x3 x5 x6 x7
Known 87a53.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)∀ x2 . x2x0∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0fba9e.. x1 x2 x3 x4 x5 x6 x7fba9e.. x1 x2 x3 x4 x6 x5 x7
Theorem ca2a2.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)∀ x2 . x2x0∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0fba9e.. x1 x2 x3 x4 x5 x6 x7fba9e.. x1 x2 x4 x3 x6 x5 x7 (proof)