Search for blocks/addresses/...

Proofgold Signed Transaction

vin
PrCit../9ab5c..
PUfhX../3815c..
vout
PrCit../a00af.. 4.27 bars
TMS7D../6b177.. ownership of 26c4d.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
TMRnc../5acae.. ownership of 6798c.. as prop with payaddr Pr4zB.. rights free controlledby Pr4zB.. upto 0
PUi1k../39d94.. doc published by Pr4zB..
Definition FalseFalse := ∀ x0 : ο . x0
Definition notnot := λ x0 : ο . x0False
Known 96959.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)(∀ x8 . x0 x8not (x1 x8)∀ x9 : ι → ο . x9 x6x9 x7x9 x8)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7∀ x8 : ι → ι → ι → ι → ο . (∀ x9 . x0 x9∀ x10 . x0 x10not (x8 x9 x7 x10 x6))(∀ x9 . x0 x9not (x8 x2 x9 x2 x9))(∀ x9 . x0 x9not (x8 x3 x9 x2 x9))(∀ x9 . x0 x9not (x8 x4 x9 x2 x9))(∀ x9 . x0 x9not (x8 x5 x9 x2 x9))(∀ x9 . x0 x9not (x8 x6 x9 x2 x9))(∀ x9 . x0 x9not (x8 x7 x9 x2 x9))(∀ x9 . x0 x9not (x8 x3 x9 x3 x9))(∀ x9 . x0 x9not (x8 x4 x9 x3 x9))(∀ x9 . x0 x9not (x8 x5 x9 x3 x9))(∀ x9 . x0 x9not (x8 x6 x9 x3 x9))(∀ x9 . x0 x9not (x8 x7 x9 x3 x9))(∀ x9 . x0 x9not (x8 x4 x9 x4 x9))(∀ x9 . x0 x9not (x8 x5 x9 x4 x9))(∀ x9 . x0 x9not (x8 x6 x9 x4 x9))(∀ x9 . x0 x9not (x8 x7 x9 x4 x9))(∀ x9 . x0 x9not (x8 x5 x9 x5 x9))(∀ x9 . x0 x9not (x8 x6 x9 x5 x9))(∀ x9 . x0 x9not (x8 x7 x9 x5 x9))(∀ x9 . x0 x9not (x8 x6 x9 x6 x9))(∀ x9 . x0 x9not (x8 x7 x9 x6 x9))(∀ x9 . x0 x9not (x8 x7 x9 x7 x9))∀ x9 : ι → ι → ι → ι → ο . (∀ x10 x11 . x0 x10x0 x11x9 x10 x11 x7 x7)(∀ x10 . x0 x10x9 x6 x6 x7 x10)(∀ x10 . x0 x10x9 x6 x7 x7 x10)x9 x2 x6 x4 x6x9 x2 x6 x4 x7x9 x2 x6 x5 x6x9 x2 x6 x5 x7x9 x2 x6 x7 x6x9 x2 x7 x4 x7x9 x2 x7 x5 x7x9 x3 x6 x3 x7x9 x3 x6 x5 x6x9 x3 x6 x5 x7x9 x3 x6 x6 x7x9 x3 x6 x7 x6x9 x3 x7 x5 x7x9 x4 x6 x2 x7x9 x4 x6 x4 x7x9 x5 x6 x2 x7x9 x5 x6 x3 x7x9 x6 x6 x3 x7x9 x7 x6 x2 x7x9 x7 x6 x3 x7x9 x7 x6 x6 x7∀ x10 . x0 x10∀ x11 . x0 x11∀ x12 . x0 x12∀ x13 . x0 x13not (x1 x10)not (x1 x11)x12 = x6not (x1 x13)∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16∀ x17 . x0 x17x8 x14 x10 x15 x11x8 x15 x11 x16 x12x8 x16 x12 x17 x13not (x9 x14 x10 x15 x11)not (x9 x14 x10 x16 x12)not (x9 x14 x10 x17 x13)not (x9 x15 x11 x16 x12)not (x9 x15 x11 x17 x13)not (x9 x16 x12 x17 x13)∀ x18 : ο . (x14 = x2x10 = x6x15 = x3x11 = x6x16 = x6x12 = x6x17 = x2x13 = x7x18)(x14 = x4x10 = x6x15 = x5x11 = x6x16 = x6x12 = x6x17 = x5x13 = x7x18)(x14 = x4x10 = x6x15 = x5x11 = x6x16 = x6x12 = x6x17 = x6x13 = x7x18)(x14 = x4x10 = x6x15 = x5x11 = x6x16 = x7x12 = x6x17 = x5x13 = x7x18)(x14 = x2x10 = x6x15 = x6x11 = x6x16 = x2x12 = x7x17 = x6x13 = x7x18)(x14 = x4x10 = x6x15 = x5x11 = x6x16 = x5x12 = x7x17 = x6x13 = x7x18)(x14 = x4x10 = x6x15 = x6x11 = x6x16 = x5x12 = x7x17 = x6x13 = x7x18)(x14 = x5x10 = x6x15 = x6x11 = x6x16 = x4x12 = x7x17 = x5x13 = x7x18)(x14 = x5x10 = x6x15 = x6x11 = x6x16 = x4x12 = x7x17 = x6x13 = x7x18)(x14 = x5x10 = x6x15 = x6x11 = x6x16 = x5x12 = x7x17 = x6x13 = x7x18)(x14 = x5x10 = x6x15 = x7x11 = x6x16 = x4x12 = x7x17 = x5x13 = x7x18)(x14 = x2x10 = x6x15 = x2x11 = x7x16 = x3x12 = x7x17 = x6x13 = x7x18)(x14 = x5x10 = x6x15 = x4x11 = x7x16 = x5x12 = x7x17 = x6x13 = x7x18)(x14 = x6x10 = x6x15 = x4x11 = x7x16 = x5x12 = x7x17 = x6x13 = x7x18)x18
Definition oror := λ x0 x1 : ο . ∀ x2 : ο . (x0x2)(x1x2)x2
Known xmxm : ∀ x0 : ο . or x0 (not x0)
Known FalseEFalseE : False∀ x0 : ο . x0
Theorem 26c4d.. : ∀ x0 x1 : ι → ο . ∀ x2 x3 x4 x5 x6 x7 . (∀ x8 : ι → ο . x8 x2x8 x3x8 x4x8 x5x8 x6x8 x7∀ x9 . x0 x9x8 x9)(∀ x8 . x0 x8not (x1 x8)∀ x9 : ι → ο . x9 x6x9 x7x9 x8)x0 x2x0 x3x0 x4x0 x5x0 x6x0 x7∀ x8 : ι → ι → ι → ι → ο . (∀ x9 . x0 x9∀ x10 . x0 x10not (x8 x9 x7 x10 x6))(∀ x9 . x0 x9not (x8 x2 x9 x2 x9))(∀ x9 . x0 x9not (x8 x3 x9 x2 x9))(∀ x9 . x0 x9not (x8 x4 x9 x2 x9))(∀ x9 . x0 x9not (x8 x5 x9 x2 x9))(∀ x9 . x0 x9not (x8 x6 x9 x2 x9))(∀ x9 . x0 x9not (x8 x7 x9 x2 x9))(∀ x9 . x0 x9not (x8 x3 x9 x3 x9))(∀ x9 . x0 x9not (x8 x4 x9 x3 x9))(∀ x9 . x0 x9not (x8 x5 x9 x3 x9))(∀ x9 . x0 x9not (x8 x6 x9 x3 x9))(∀ x9 . x0 x9not (x8 x7 x9 x3 x9))(∀ x9 . x0 x9not (x8 x4 x9 x4 x9))(∀ x9 . x0 x9not (x8 x5 x9 x4 x9))(∀ x9 . x0 x9not (x8 x6 x9 x4 x9))(∀ x9 . x0 x9not (x8 x7 x9 x4 x9))(∀ x9 . x0 x9not (x8 x5 x9 x5 x9))(∀ x9 . x0 x9not (x8 x6 x9 x5 x9))(∀ x9 . x0 x9not (x8 x7 x9 x5 x9))(∀ x9 . x0 x9not (x8 x6 x9 x6 x9))(∀ x9 . x0 x9not (x8 x7 x9 x6 x9))(∀ x9 . x0 x9not (x8 x7 x9 x7 x9))∀ x9 : ι → ι → ι → ι → ο . (∀ x10 x11 . x0 x10x0 x11x9 x10 x11 x7 x7)(∀ x10 . x0 x10x9 x6 x6 x7 x10)(∀ x10 . x0 x10x9 x6 x7 x7 x10)x9 x2 x6 x4 x6x9 x2 x6 x4 x7x9 x2 x6 x5 x6x9 x2 x6 x5 x7x9 x2 x6 x7 x6x9 x2 x7 x4 x7x9 x2 x7 x5 x7x9 x3 x6 x3 x7x9 x3 x6 x5 x6x9 x3 x6 x5 x7x9 x3 x6 x6 x7x9 x3 x6 x7 x6x9 x3 x7 x5 x7x9 x4 x6 x2 x7x9 x4 x6 x4 x7x9 x5 x6 x2 x7x9 x5 x6 x3 x7x9 x6 x6 x3 x7x9 x7 x6 x2 x7x9 x7 x6 x3 x7x9 x7 x6 x6 x7∀ x10 . x0 x10∀ x11 . x0 x11∀ x12 . x0 x12∀ x13 . x0 x13not (x1 x10)not (x1 x11)not (x1 x12)not (x1 x13)∀ x14 . x0 x14∀ x15 . x0 x15∀ x16 . x0 x16∀ x17 . x0 x17x8 x14 x10 x15 x11x8 x15 x11 x16 x12x8 x16 x12 x17 x13not (x9 x14 x10 x15 x11)not (x9 x14 x10 x16 x12)not (x9 x14 x10 x17 x13)not (x9 x15 x11 x16 x12)not (x9 x15 x11 x17 x13)not (x9 x16 x12 x17 x13)∀ x18 : ο . (x14 = x2x10 = x6x15 = x3x11 = x6x16 = x6x12 = x6x17 = x2x13 = x7x18)(x14 = x4x10 = x6x15 = x5x11 = x6x16 = x6x12 = x6x17 = x5x13 = x7x18)(x14 = x4x10 = x6x15 = x5x11 = x6x16 = x6x12 = x6x17 = x6x13 = x7x18)(x14 = x4x10 = x6x15 = x5x11 = x6x16 = x7x12 = x6x17 = x5x13 = x7x18)(x14 = x2x10 = x6x15 = x6x11 = x6x16 = x2x12 = x7x17 = x6x13 = x7x18)(x14 = x4x10 = x6x15 = x5x11 = x6x16 = x5x12 = x7x17 = x6x13 = x7x18)(x14 = x4x10 = x6x15 = x6x11 = x6x16 = x5x12 = x7x17 = x6x13 = x7x18)(x14 = x5x10 = x6x15 = x6x11 = x6x16 = x4x12 = x7x17 = x5x13 = x7x18)(x14 = x5x10 = x6x15 = x6x11 = x6x16 = x4x12 = x7x17 = x6x13 = x7x18)(x14 = x5x10 = x6x15 = x6x11 = x6x16 = x5x12 = x7x17 = x6x13 = x7x18)(x14 = x5x10 = x6x15 = x7x11 = x6x16 = x4x12 = x7x17 = x5x13 = x7x18)(x14 = x2x10 = x6x15 = x2x11 = x7x16 = x3x12 = x7x17 = x6x13 = x7x18)(x14 = x5x10 = x6x15 = x4x11 = x7x16 = x5x12 = x7x17 = x6x13 = x7x18)(x14 = x6x10 = x6x15 = x4x11 = x7x16 = x5x12 = x7x17 = x6x13 = x7x18)x18 (proof)