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Proofgold Signed Transaction

vin
Pr3AS../80fb7..
PUXXJ../28df7..
vout
Pr3AS../a9a3a.. 5.98 bars
TMYee../8ca65.. ownership of 1dad4.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMbS2../c0bcb.. ownership of 179cc.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUZha../0f92d.. doc published by Pr4zB..
Param a3794.. : (ιιο) → ιιιιιιιιιο
Param notnot : οο
Definition 4e84e.. := λ x0 : ι → ι → ο . λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 . ∀ x11 : ο . (a3794.. 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 x10not (x0 x6 x10)not (x0 x7 x10)not (x0 x8 x10)not (x0 x9 x10)x11)x11
Known 9f0db.. : ∀ 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 . x10x0a3794.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x10a3794.. x1 x6 x3 x8 x10 x2 x7 x4 x9 x5
Theorem 1dad4.. : ∀ 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 . x11x04e84e.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x114e84e.. x1 x6 x3 x8 x10 x2 x7 x4 x9 x5 x11 (proof)