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Proofgold Signed Transaction

vin
PrRz8../2f0be..
PUKVK../04ff8..
vout
PrRz8../bcfcb.. 17.60 bars
TMdaj../1a893.. ownership of 3e831.. as prop with payaddr PrCnV.. rights free controlledby PrCnV.. upto 0
TMLTt../34c7e.. ownership of 36830.. as prop with payaddr PrCnV.. rights free controlledby PrCnV.. upto 0
PUKha../25f12.. doc published by PrCnV..
Known FalseEFalseE : False∀ x0 : ο . x0
Known 2901c..EmptyE : ∀ x0 . In x0 0False
Known d0de4..Empty_eq : ∀ x0 . (∀ x1 . nIn x1 x0)x0 = 0
Known 9d2e6..nIn_I2 : ∀ x0 x1 . (In x0 x1False)nIn x0 x1
Known 2109a..UnionE2 : ∀ x0 x1 . In x1 (Union x0)∀ x2 : ο . (∀ x3 . In x1 x3In x3 x0x2)x2
Known 367e6..SubqE : ∀ x0 x1 . Subq x0 x1∀ x2 . In x2 x0In x2 x1
Theorem 3e831.. : ∀ x0 . Subq x0 (Union 0)∀ x1 . In x1 x0and (∀ x2 . not (exactly5 x0)∀ x3 : ο . (∀ x4 . and (Subq x4 x0) (∀ x5 . In x5 0not (ordinal x2))x3)x3) (∀ x2 : ο . (∀ x3 . and (In x3 x1) (∃ x4 . not (TransSet x1))x2)x2)atleast4 x1 (proof)