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Proofgold Signed Transaction

vin
PrCit../c18f3..
PUfZs../c8cad..
vout
PrCit../2036e.. 2.83 bars
TMFs5../f143c.. ownership of dc421.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMQJm../429cf.. ownership of aedfa.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUN57../c78be.. doc published by Pr4zB..
Param 93f0f.. : (ιιο) → ιιιιιιιιιο
Known e0394.. : ∀ 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 . x10x093f0f.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x1093f0f.. x1 x2 x4 x3 x5 x6 x7 x8 x9 x10
Known e5195.. : ∀ 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 . x10x093f0f.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x1093f0f.. x1 x2 x3 x4 x5 x7 x6 x8 x9 x10
Theorem dc421.. : ∀ 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 . x10x093f0f.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x1093f0f.. x1 x2 x4 x3 x5 x7 x6 x8 x9 x10 (proof)