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Proofgold Signed Transaction

vin
Pr3ZS../c366a..
PUdbw../899fd..
vout
Pr3ZS../f4085.. 25.00 bars
TMLEa../63385.. ownership of 1c42c.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMVDL../d40f1.. ownership of fab79.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUSeX../f9b29.. doc published by Pr4zB..
Param ae506.. : (ιιο) → ιιιιιιιο
Known 157af.. : ∀ 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 . x8x0ae506.. x1 x2 x3 x4 x5 x6 x7 x8ae506.. x1 x8 x3 x4 x5 x6 x7 x2
Known 332b1.. : ∀ 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 . x8x0ae506.. x1 x2 x3 x4 x5 x6 x7 x8ae506.. x1 x2 x3 x4 x5 x7 x6 x8
Theorem 1c42c.. : ∀ 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 . x8x0ae506.. x1 x2 x3 x4 x5 x6 x7 x8ae506.. x1 x8 x3 x4 x5 x7 x6 x2 (proof)