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Proofgold Signed Transaction

vin
PrRA5../21732..
PUZYd../f3f09..
vout
PrRA5../6ab4f.. 24.93 bars
TMXnn../6b599.. ownership of ce746.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMJNH../4a56f.. ownership of d96c4.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUei9../8e826.. doc published by Pr4zB..
Param df271.. : (ιιο) → ιιιιιιιο
Param notnot : οο
Definition 7b2a6.. := λ x0 : ι → ι → ο . λ x1 x2 x3 x4 x5 x6 x7 x8 . ∀ x9 : ο . (df271.. 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)not (x0 x4 x8)not (x0 x5 x8)x0 x6 x8not (x0 x7 x8)x9)x9
Known ccf53.. : ∀ 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 . x8x0df271.. x1 x2 x3 x4 x5 x6 x7 x8df271.. x1 x2 x4 x3 x6 x5 x7 x8
Theorem ce746.. : ∀ 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 . x9x07b2a6.. x1 x2 x3 x4 x5 x6 x7 x8 x97b2a6.. x1 x2 x4 x3 x6 x5 x7 x8 x9 (proof)