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Proofgold Signed Transaction

vin
Pr7tr../ad01f..
PUWzm../23c1c..
vout
Pr7tr../73f6e.. 5.34 bars
TMFH3../8335d.. ownership of 821ad.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMUPf../ef422.. ownership of f625c.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
PUQ8U../b4ee5.. doc published by Pr4zB..
Param 5b060.. : (ιιο) → ιιιιιιιιο
Known 9cb84.. : ∀ 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 . x9x05b060.. x1 x2 x3 x4 x5 x6 x7 x8 x95b060.. x1 x8 x3 x4 x5 x6 x7 x2 x9
Known e46cc.. : ∀ 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 . x9x05b060.. x1 x2 x3 x4 x5 x6 x7 x8 x95b060.. x1 x2 x3 x4 x5 x7 x6 x8 x9
Theorem 821ad.. : ∀ 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 . x9x05b060.. x1 x2 x3 x4 x5 x6 x7 x8 x95b060.. x1 x8 x3 x4 x5 x7 x6 x2 x9 (proof)