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Proofgold Signed Transaction

vin
PrDfv../93e97..
PUWKE../3a469..
vout
PrDfv../283ce.. 5.96 bars
TMLHL../f7462.. ownership of 124e5.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMJ1q../a5769.. ownership of ee674.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
PUWuK../16d2a.. doc published by Pr4zB..
Param 176ba.. : (ιιο) → ιιιιιιιιιο
Known 60fa9.. : ∀ 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 . x10x0176ba.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x10176ba.. x1 x3 x2 x4 x5 x6 x7 x8 x9 x10
Known e3410.. : ∀ 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 . x10x0176ba.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x10176ba.. x1 x2 x3 x4 x5 x6 x9 x8 x7 x10
Theorem 124e5.. : ∀ 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 . x10x0176ba.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x10176ba.. x1 x3 x2 x4 x5 x6 x9 x8 x7 x10 (proof)