Search for blocks/addresses/...

Proofgold Signed Transaction

vin
PrPhD../d17cf..
PUQeF../b0a3a..
vout
PrPhD../05721.. 102.65 bars
TMGfN../675ad.. ownership of 55aff.. as prop with payaddr PrPhD.. rights free controlledby PrPhD.. upto 0
TMJab../d88e4.. ownership of 34937.. as prop with payaddr PrPhD.. rights free controlledby PrPhD.. upto 0
PUdvp../213ba.. doc published by PrPhD..
Definition FalseFalse := ∀ x0 : ο . x0
Definition notnot := λ x0 : ο . x0False
Theorem 55aff.. : ∀ x0 : ι → ο . ∀ x1 : ι → ι → ο . ∀ x2 . ∀ x3 : ι → ι → ι . ∀ x4 : ι → ο . ∀ x5 : ι → ι . ∀ x6 x7 : ι → ι → ο . ∀ x8 . ∀ x9 : ι → ι → ι . ∀ x10 . ∀ x11 : ι → ο . ∀ x12 x13 x14 . ∀ x15 : ι → ο . ∀ x16 . ∀ x17 : ι → ο . ∀ x18 x19 x20 . ∀ x21 : ι → ο . ∀ x22 . ∀ x23 : ι → ο . ∀ x24 x25 x26 x27 . ∀ x28 x29 : ι → ο . ∀ x30 : ι → ι → ι . ∀ x31 x32 : ι → ο . ∀ x33 x34 . ∀ x35 x36 x37 x38 : ι → ο . ∀ x39 : ι → ι . ∀ x40 x41 x42 x43 x44 . ∀ x45 : ι → ο . ∀ x46 . ∀ x47 : ι → ο . ∀ x48 . ∀ x49 : ι → ο . ∀ x50 . ∀ x51 : ι → ο . ∀ x52 x53 . ∀ x54 x55 : ι → ι → ι . ∀ x56 x57 x58 . ∀ x59 : ι → ι → ι → ο . ∀ x60 . ∀ x61 x62 : ι → ο . ∀ x63 : ι → ι → ο . ∀ x64 : ι → ο . (∀ x65 x66 . x64 x66x64 x65(x63 x66 x65False)(x62 x65False)(x61 x66False)False)(∀ x65 x66 . x0 x66(x66 = x65False)x0 x65False)(∀ x65 x66 . x64 x66x64 x65(x63 x66 x65False)(x61 x66False)(x62 x65False)False)(∀ x65 x66 . x1 x65 x66x0 x66False)(∀ x65 x66 . x64 x66x64 x65x63 x66 x65(x0 x66False)(x61 x65False)(x62 x66False)False)(∀ x65 x66 . x64 x66x4 x65(x63 x66 x2False)x63 (x3 x66 x65) x2False)(∀ x65 . x0 x65(x65 = x60False)False)(∀ x65 x66 x67 . x1 x65 x66x6 x66 (x5 x67)x0 x67False)(∀ x65 x66 . x64 x66x64 x65x63 x66 x65(x0 x65False)(x62 x66False)(x61 x65False)False)(∀ x65 x66 x67 . x1 x66 x67x6 x67 (x5 x65)(x6 x66 x65False)False)(∀ x65 x66 . x64 x66x64 x65x63 x66 x65(x61 x65False)x61 x66False)(∀ x65 x66 . x7 x66 x65(x6 x66 (x5 x65)False)False)(∀ x65 x66 . x6 x66 (x5 x65)(x7 x66 x65False)False)(∀ x65 x66 . x64 x66x64 x65x63 x66 x65(x62 x66False)x62 x65False)(∀ x65 x66 . x6 x65 x66(x0 x66False)(x1 x65 x66False)False)(∀ x65 x66 . x64 x66x64 x65x63 x66 x65x62 x65(x62 x66False)False)(∀ x65 x66 x67 . x64 x67x64 x65x59 x66 x57 x58x63 x2 x67(x63 x65 x67False)x63 x56 x66x63 (x55 x66 x65) (x55 x66 x67)False)(∀ x65 x66 x67 . x64 x67x64 x65x59 x66 x57 x58x63 x2 x67x63 x67 x65x63 x56 x66(x63 (x55 x66 x67) (x55 x66 x65)False)False)(∀ x65 . x59 x65 x57 x58x63 x56 x65(x54 x65 x56 = x56False)False)(∀ x65 x66 . x1 x66 x65(x6 x66 x65False)False)(∀ x65 x66 . x64 x66x64 x65x63 x66 x65x61 x66(x61 x65False)False)((x6 x60 x8False)False)(∀ x65 x66 . x64 x66x4 x65x63 x2 x66x63 x56 x65(x55 x65 (x3 x66 x65) = x66False)False)(∀ x65 x66 . x64 x66x4 x65x63 x2 x66x63 x56 x65(x3 (x55 x65 x66) x65 = x66False)False)(∀ x65 x66 . x64 x66x4 x65x63 x66 x56x63 x56 x65(x63 x66 x2False)(x63 (x3 x66 x65) x66False)False)(∀ x65 . x4 x65x63 x56 x65(x9 x2 x65 = x2False)False)((x6 x56 x57False)False)((x6 x56 x58False)False)((x59 x56 x57 x58False)False)((x61 x56False)False)(x0 x56False)((x6 x10 x57False)False)((x6 x10 x58False)False)((x59 x10 x57 x58False)False)((x0 x10False)False)((x63 x56 x56False)False)(x63 x56 x10False)((x63 x10 x56False)False)((x63 x10 x10False)False)(∀ x65 x66 . x11 x66x11 x65(x63 x66 x66False)False)(∀ x65 . (x7 x65 x65False)False)(∀ x65 x66 x67 . (x0 x67False)(x0 x65False)x6 x65 (x5 x67)x6 x66 x65(x59 x66 x67 x65False)False)(∀ x65 x66 x67 . (x0 x67False)(x0 x65False)x6 x65 (x5 x67)x59 x66 x67 x65(x6 x66 x65False)False)((x2 = x60False)False)((x58 = x8False)False)(∀ x65 x66 . x6 x66 x58x6 x65 x57(x54 x66 x65 = x55 x66 x65False)False)(∀ x65 x66 . x6 x66 x57x4 x65(x9 x66 x65 = x3 x66 x65False)False)((x4 x12False)False)(x0 x12False)((x11 x13False)False)((x0 x13False)False)((x64 x14False)False)((x11 x14False)False)((x15 x14False)False)((x0 x14False)False)((x4 x16False)False)((x62 x53False)False)((x11 x53False)False)((x64 x52False)False)((x62 x52False)False)((x11 x52False)False)((x15 x52False)False)((x51 x50False)False)((x17 x50False)False)(x0 x50False)((x61 x18False)False)((x11 x18False)False)((x64 x19False)False)((x61 x19False)False)((x11 x19False)False)((x15 x19False)False)(x0 x20False)((x49 x48False)False)((x21 x22False)False)((x47 x22False)False)((x23 x22False)False)(x0 x22False)((x21 x24False)False)(x0 x24False)((x6 x24 (x5 x57)False)False)((x17 x46False)False)(x0 x46False)((x45 x44False)False)((x11 x25False)False)((x64 x43False)False)((x0 x26False)False)((x49 x42False)False)((x64 x42False)False)((x15 x42False)False)((x11 x42False)False)((x6 x42 x57False)False)((x21 x27False)False)((x17 x41False)False)(x0 x41False)((x45 x40False)False)((x64 x40False)False)((x15 x40False)False)((x11 x40False)False)((x6 x40 x57False)False)(x28 x57False)((x21 x8False)False)(x0 x8False)((x17 x8False)False)((x51 x8False)False)((x51 x57False)False)(∀ x65 x66 . x4 x66x4 x65(x4 (x3 x66 x65)False)False)(∀ x65 x66 . x15 x66x4 x65(x15 (x3 x66 x65)False)False)((x29 x57False)False)(∀ x65 x66 . x64 x66x4 x65(x64 (x3 x66 x65)False)False)((x0 x60False)False)(x0 x57False)(∀ x65 x66 . (x0 x66False)(x0 x65False)x6 x65 (x5 x66)(x59 (x30 x65 x66) x66 x65False)False)(∀ x65 . (x6 (x39 x65) x65False)False)(∀ x65 x66 x67 . (x0 x67False)(x0 x65False)x6 x65 (x5 x67)x59 x66 x67 x65(x6 x66 x67False)False)((x59 x2 x57 x58False)False)((x6 x58 (x5 x57)False)False)(∀ x65 x66 . x6 x66 x58x6 x65 x57(x6 (x54 x66 x65) x57False)False)(∀ x65 x66 . x4 x66x64 x65(x64 (x55 x66 x65)False)False)(∀ x65 x66 . x6 x66 x57x4 x65(x6 (x9 x66 x65) x57False)False)(∀ x65 x66 . x11 x66x11 x65(x63 x66 x65False)(x63 x65 x66False)False)(∀ x65 . x0 x65(x38 x65False)False)(∀ x65 . x11 x65(x61 x65False)(x62 x65False)(x11 x65False)False)(∀ x65 . x11 x65(x61 x65False)(x62 x65False)(x0 x65False)False)(∀ x65 . x6 x65 x8(x4 x65False)False)(∀ x65 . x6 x65 (x5 x57)(x29 x65False)False)(∀ x65 . x0 x65x11 x65x62 x65False)(∀ x65 . x0 x65x11 x65x61 x65False)(∀ x65 . x0 x65x11 x65(x11 x65False)False)(∀ x65 . x0 x65(x4 x65False)False)(∀ x65 . (x0 x65False)x11 x65(x61 x65False)(x62 x65False)False)(∀ x65 . (x0 x65False)x11 x65(x61 x65False)(x11 x65False)False)(∀ x65 . x4 x65(x21 x65False)False)(∀ x65 . x11 x65x62 x65x61 x65False)(∀ x65 . x11 x65x62 x65(x11 x65False)False)(∀ x65 . x11 x65x62 x65x0 x65False)(∀ x65 x66 . x21 x66x6 x65 x66(x21 x65False)False)(∀ x65 . x29 x65(x37 x65False)False)(∀ x65 . (x0 x65False)x11 x65(x62 x65False)(x61 x65False)False)(∀ x65 . (x0 x65False)x11 x65(x62 x65False)(x11 x65False)False)(∀ x65 . x64 x65(x11 x65False)False)(∀ x65 . x0 x65(x36 x65False)False)(∀ x65 . x29 x65(x31 x65False)False)(∀ x65 . x11 x65x61 x65x62 x65False)(∀ x65 . x11 x65x61 x65(x11 x65False)False)(∀ x65 . x11 x65x61 x65x0 x65False)(∀ x65 . x64 x65(x15 x65False)False)(∀ x65 . x0 x65(x21 x65False)False)(∀ x65 . x4 x65x62 x65False)(∀ x65 . x4 x65(x4 x65False)False)(∀ x65 . x32 x65(x29 x65False)False)(∀ x65 . x45 x65(x64 x65False)False)(∀ x65 . x4 x65(x11 x65False)False)(∀ x65 . x4 x65(x64 x65False)False)(∀ x65 . x45 x65(x49 x65False)False)(∀ x65 . x23 x65x47 x65(x21 x65False)False)(∀ x65 . x6 x65 x58x62 x65False)(∀ x65 . x35 x65(x32 x65False)False)(∀ x65 . x4 x65(x45 x65False)False)(∀ x65 . x0 x65(x51 x65False)False)(∀ x65 . x6 x65 x58(x17 x65False)False)(∀ x65 x66 . x17 x66x6 x65 (x5 x66)(x17 x65False)False)(∀ x65 x66 . x35 x66x6 x65 (x5 x66)(x35 x65False)False)(∀ x65 x66 . x32 x66x6 x65 (x5 x66)(x32 x65False)False)(∀ x65 x66 . x29 x66x6 x65 (x5 x66)(x29 x65False)False)(∀ x65 x66 . x31 x66x6 x65 (x5 x66)(x31 x65False)False)(∀ x65 . x6 x65 x57(x64 x65False)False)(∀ x65 . x49 x65(x64 x65False)False)(∀ x65 . x21 x65(x47 x65False)False)(∀ x65 . x21 x65(x23 x65False)False)(∀ x65 . x4 x65(x4 x65False)False)(∀ x65 . x4 x65(x21 x65False)False)(∀ x65 . x17 x65(x35 x65False)False)(∀ x65 x66 . x37 x66x6 x65 (x5 x66)(x37 x65False)False)(∀ x65 . x0 x65(x17 x65False)False)(∀ x65 x66 . x17 x66x6 x65 x66(x4 x65False)False)(∀ x65 x66 . x35 x66x6 x65 x66(x45 x65False)False)(∀ x65 x66 . x32 x66x6 x65 x66(x49 x65False)False)(∀ x65 x66 . x29 x66x6 x65 x66(x64 x65False)False)(∀ x65 x66 . x31 x66x6 x65 x66(x11 x65False)False)(∀ x65 x66 . x37 x66x6 x65 x66(x15 x65False)False)(∀ x65 . x6 x65 (x5 x58)(x17 x65False)False)(∀ x65 x66 . x38 x66x6 x65 (x5 x66)(x38 x65False)False)(∀ x65 x66 . x1 x65 x66x1 x66 x65False)(x63 x34 (x55 x33 x34)(x63 x56 (x55 x33 x34)False)False)(x63 x56 x34False)((x63 x56 x33False)False)((x63 x2 x34False)False)((x59 x33 x57 x58False)False)((x64 x34False)False)False (proof)