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Proofgold Signed Transaction

vin
PrPR2../d6369..
PUViD../02c3d..
vout
PrPR2../63e07.. 5.99 bars
TMLUc../5b43e.. ownership of f002f.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMJfv../cbfef.. ownership of 985c9.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUYXk../d9b4a.. doc published by Pr4zB..
Param db744.. : (ιιο) → ιιιιιιιιο
Param notnot : οο
Definition 59632.. := λ x0 : ι → ι → ο . λ x1 x2 x3 x4 x5 x6 x7 x8 x9 . ∀ x10 : ο . (db744.. x0 x1 x2 x3 x4 x5 x6 x7 x8(x1 = x9∀ x11 : ο . x11)(x2 = x9∀ x11 : ο . x11)(x3 = x9∀ x11 : ο . x11)(x4 = x9∀ x11 : ο . x11)(x5 = x9∀ x11 : ο . x11)(x6 = x9∀ x11 : ο . x11)(x7 = x9∀ x11 : ο . x11)(x8 = x9∀ x11 : ο . x11)x0 x1 x9x0 x2 x9x0 x3 x9not (x0 x4 x9)not (x0 x5 x9)not (x0 x6 x9)not (x0 x7 x9)not (x0 x8 x9)x10)x10
Known a7253.. : ∀ 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 . x9x0db744.. x1 x2 x3 x4 x5 x6 x7 x8 x9db744.. x1 x2 x4 x3 x6 x5 x7 x8 x9
Theorem f002f.. : ∀ 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 . x9x0∀ x10 . x10x059632.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x1059632.. x1 x2 x4 x3 x6 x5 x7 x8 x9 x10 (proof)