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Proofgold Signed Transaction

vin
PrMjN../b89f5..
PUdDe../56a0e..
vout
PrMjN../b0165.. 25.00 bars
TMTCY../54cd5.. ownership of 84233.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMXC3../4d0fb.. ownership of 00e13.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUPgW../9b5d5.. doc published by Pr4zB..
Param 5e84d.. : (ιιο) → ιιιιιιο
Param notnot : οο
Definition 7f677.. := λ x0 : ι → ι → ο . λ x1 x2 x3 x4 x5 x6 x7 . ∀ x8 : ο . (5e84d.. x0 x1 x2 x3 x4 x5 x6(x1 = x7∀ x9 : ο . x9)(x2 = x7∀ x9 : ο . x9)(x3 = x7∀ x9 : ο . x9)(x4 = x7∀ x9 : ο . x9)(x5 = x7∀ x9 : ο . x9)(x6 = x7∀ x9 : ο . x9)not (x0 x1 x7)x0 x2 x7not (x0 x3 x7)not (x0 x4 x7)not (x0 x5 x7)not (x0 x6 x7)x8)x8
Known 36e4d.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)∀ x2 . x2x0∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x05e84d.. x1 x2 x3 x4 x5 x6 x75e84d.. x1 x2 x3 x7 x5 x6 x4
Theorem 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 (proof)