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Proofgold Signed Transaction

vin
Pr6qm../6dd2d..
PUQ7s../a0261..
vout
Pr6qm../d16a1.. 24.92 bars
TMKS5../c0138.. ownership of a4071.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMSSG../fc8d8.. ownership of d65ad.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUT5F../7ff7f.. doc published by Pr4zB..
Param 836ee.. : (ιιο) → ιιιιιιιο
Param notnot : οο
Definition 89dbd.. := λ x0 : ι → ι → ο . λ x1 x2 x3 x4 x5 x6 x7 x8 . ∀ x9 : ο . (836ee.. 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)x0 x1 x8x0 x2 x8not (x0 x3 x8)not (x0 x4 x8)not (x0 x5 x8)not (x0 x6 x8)not (x0 x7 x8)x9)x9
Known 78d60.. : ∀ 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 . x8x0836ee.. x1 x2 x3 x4 x5 x6 x7 x8836ee.. x1 x2 x3 x5 x4 x7 x6 x8
Theorem a4071.. : ∀ 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 . x9x089dbd.. x1 x2 x3 x4 x5 x6 x7 x8 x989dbd.. x1 x2 x3 x5 x4 x7 x6 x8 x9 (proof)