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Proofgold Signed Transaction

vin
Pr5jd../905ea..
PUW1A../27128..
vout
Pr5jd../77e49.. 12.40 bars
TMFr5../48394.. ownership of 0cfc0.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMZyM../aa23e.. ownership of a5210.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
PUfQV../3e02a.. doc published by Pr4zB..
Param d7a9f.. : (ιιο) → ιιιιιιιιο
Known 6b892.. : ∀ 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 . x9x0d7a9f.. x1 x2 x3 x4 x5 x6 x7 x8 x9d7a9f.. x1 x2 x3 x9 x5 x6 x7 x8 x4
Known 0301d.. : ∀ 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 . x9x0d7a9f.. x1 x2 x3 x4 x5 x6 x7 x8 x9d7a9f.. x1 x2 x3 x4 x6 x5 x7 x8 x9
Theorem 0cfc0.. : ∀ 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 . x9x0d7a9f.. x1 x2 x3 x4 x5 x6 x7 x8 x9d7a9f.. x1 x2 x3 x9 x6 x5 x7 x8 x4 (proof)