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Proofgold Signed Transaction

vin
PrSDh../55da1..
PUUpH../4b83c..
vout
PrSDh../e0f1b.. 12.39 bars
TMLqN../b9cde.. ownership of 65b7a.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMGhA../5ddae.. ownership of 51f7b.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
PUYyT../e5385.. doc published by Pr4zB..
Param 29a16.. : (ιιο) → ιιιιιιιιο
Known 5ebef.. : ∀ 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 . x9x029a16.. x1 x2 x3 x4 x5 x6 x7 x8 x929a16.. x1 x2 x3 x5 x4 x6 x7 x8 x9
Known 32083.. : ∀ 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 . x9x029a16.. x1 x2 x3 x4 x5 x6 x7 x8 x929a16.. x1 x2 x3 x4 x5 x6 x8 x7 x9
Theorem 65b7a.. : ∀ 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 . x9x029a16.. x1 x2 x3 x4 x5 x6 x7 x8 x929a16.. x1 x2 x3 x5 x4 x6 x8 x7 x9 (proof)