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Proofgold Signed Transaction

vin
PrCit../5b865..
PUf6z../70e7e..
vout
PrCit../9d42f.. 3.19 bars
TMKfm../03bd6.. ownership of daa39.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMVCQ../85ff3.. ownership of d4210.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUNba../e97d3.. doc published by Pr4zB..
Param 76a6c.. : (ιιο) → ιιιιιιιιιο
Param notnot : οο
Definition d4ea7.. := λ x0 : ι → ι → ο . λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 . ∀ x11 : ο . (76a6c.. x0 x1 x2 x3 x4 x5 x6 x7 x8 x9(x1 = x10∀ x12 : ο . x12)(x2 = x10∀ x12 : ο . x12)(x3 = x10∀ x12 : ο . x12)(x4 = x10∀ x12 : ο . x12)(x5 = x10∀ x12 : ο . x12)(x6 = x10∀ x12 : ο . x12)(x7 = x10∀ x12 : ο . x12)(x8 = x10∀ x12 : ο . x12)(x9 = x10∀ x12 : ο . x12)x0 x1 x10not (x0 x2 x10)not (x0 x3 x10)not (x0 x4 x10)x0 x5 x10x0 x6 x10not (x0 x7 x10)x0 x8 x10not (x0 x9 x10)x11)x11
Known da53f.. : ∀ 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 . x10x076a6c.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x1076a6c.. x1 x2 x3 x5 x4 x6 x7 x8 x9 x10
Theorem daa39.. : ∀ 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 . x10x0∀ x11 . x11x0d4ea7.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11d4ea7.. x1 x2 x3 x5 x4 x6 x7 x8 x9 x10 x11 (proof)