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Proofgold Signed Transaction

vin
PrCy4../42d29..
PUMuz../6eac0..
vout
PrCy4../d8b5f.. 5.92 bars
TMThQ../55175.. ownership of d9be9.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMaEz../c4996.. ownership of c4a88.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
PUYDB../74d2f.. doc published by Pr4zB..
Param 21189.. : (ιιο) → ιιιιιιιιιο
Known 77723.. : ∀ 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 . x10x021189.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x1021189.. x1 x3 x2 x4 x5 x6 x7 x8 x9 x10
Known 09cf3.. : ∀ 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 . x10x021189.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x1021189.. x1 x2 x3 x4 x5 x6 x8 x7 x9 x10
Theorem d9be9.. : ∀ 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 . x10x021189.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x1021189.. x1 x3 x2 x4 x5 x6 x8 x7 x9 x10 (proof)