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Proofgold Signed Transaction

vin
PrQyi../f4dda..
PUVhH../539d6..
vout
PrQyi../a95aa.. 5.21 bars
TMXo4../5853a.. ownership of f4524.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMKNs../66bf4.. ownership of ae342.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUa2e../40ca3.. doc published by Pr4zB..
Param 1c500.. : (ιιο) → ιιιιιιιο
Param notnot : οο
Definition 25f2f.. := λ x0 : ι → ι → ο . λ x1 x2 x3 x4 x5 x6 x7 x8 . ∀ x9 : ο . (1c500.. x0 x1 x2 x3 x4 x5 x6 x7(x1 = x8∀ x10 : ο . x10)(x2 = x8∀ x10 : ο . x10)(x3 = x8∀ x10 : ο . x10)(x4 = x8∀ x10 : ο . x10)(x5 = x8∀ x10 : ο . x10)(x6 = x8∀ x10 : ο . x10)(x7 = x8∀ x10 : ο . x10)not (x0 x1 x8)not (x0 x2 x8)not (x0 x3 x8)x0 x4 x8not (x0 x5 x8)not (x0 x6 x8)not (x0 x7 x8)x9)x9
Known db102.. : ∀ 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 . x8x01c500.. x1 x2 x3 x4 x5 x6 x7 x81c500.. x1 x2 x3 x4 x5 x7 x6 x8
Theorem f4524.. : ∀ 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 . x9x025f2f.. x1 x2 x3 x4 x5 x6 x7 x8 x925f2f.. x1 x2 x3 x4 x5 x7 x6 x8 x9 (proof)