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Proofgold Signed Transaction

vin
PrS5C../3b83d..
PUWUE../3b3f1..
vout
PrS5C../a0df6.. 25.00 bars
TMLzr../bd9f0.. ownership of 63bdf.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
TMcqR../9cea6.. ownership of 58dd6.. as prop with payaddr Pr4zB.. rightscost 0.00 controlledby Pr4zB.. upto 0
PUQE5../c79e7.. doc published by Pr4zB..
Param dfcf9.. : (ιιο) → ιιιιιιιιο
Param notnot : οο
Definition 729bd.. := λ x0 : ι → ι → ο . λ x1 x2 x3 x4 x5 x6 x7 x8 x9 . ∀ x10 : ο . (dfcf9.. x0 x1 x2 x3 x4 x5 x6 x7 x8(x1 = x9∀ x11 : ο . x11)(x2 = x9∀ x11 : ο . x11)(x3 = x9∀ x11 : ο . x11)(x4 = x9∀ x11 : ο . x11)(x5 = x9∀ x11 : ο . x11)(x6 = x9∀ x11 : ο . x11)(x7 = x9∀ x11 : ο . x11)(x8 = x9∀ x11 : ο . x11)not (x0 x1 x9)not (x0 x2 x9)x0 x3 x9x0 x4 x9not (x0 x5 x9)not (x0 x6 x9)not (x0 x7 x9)x0 x8 x9x10)x10
Known eff2b.. : ∀ 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 . x9x0dfcf9.. x1 x2 x3 x4 x5 x6 x7 x8 x9dfcf9.. x1 x2 x3 x5 x4 x6 x7 x8 x9
Theorem 63bdf.. : ∀ 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 . x10x0729bd.. x1 x2 x3 x4 x5 x6 x7 x8 x9 x10729bd.. x1 x2 x3 x5 x4 x6 x7 x8 x9 x10 (proof)