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Proofgold Signed Transaction

vin
PrLZc../5d30e..
PUVyc../5dfe7..
vout
PrLZc../d860a.. 25.00 bars
TMTz6../873d0.. ownership of 49c76.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMGot../e29f9.. ownership of abfd6.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUV5F../03540.. doc published by Pr4zB..
Param 2de86.. : (ιιο) → ιιιιιιο
Param notnot : οο
Definition 3819d.. := λ x0 : ι → ι → ο . λ x1 x2 x3 x4 x5 x6 x7 . ∀ x8 : ο . (2de86.. x0 x1 x2 x3 x4 x5 x6(x1 = x7∀ x9 : ο . x9)(x2 = x7∀ x9 : ο . x9)(x3 = x7∀ x9 : ο . x9)(x4 = x7∀ x9 : ο . x9)(x5 = x7∀ x9 : ο . x9)(x6 = x7∀ x9 : ο . x9)x0 x1 x7x0 x2 x7x0 x3 x7not (x0 x4 x7)not (x0 x5 x7)not (x0 x6 x7)x8)x8
Known 64674.. : ∀ x0 . ∀ x1 : ι → ι → ο . (∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x1 x3 x2)∀ x2 . x2x0∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x02de86.. x1 x2 x3 x4 x5 x6 x72de86.. x1 x2 x4 x3 x5 x7 x6
Theorem 49c76.. : ∀ 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 . x8x03819d.. x1 x2 x3 x4 x5 x6 x7 x83819d.. x1 x2 x4 x3 x5 x7 x6 x8 (proof)