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Proofgold Asset

asset id
1b5fc92be7c8336586b63908e9e2c63a63c2593db8f2ee934b02c13c5fb4b6e5
asset hash
335a9ff07834c1943dee5361a8cae3e8abb95b1bd3fbe0a4a1c339bed316993a
bday / block
35138
tx
74f9b..
preasset
doc published by PrPhD..
Definition FalseFalse := ∀ x0 : ο . x0
Definition notnot := λ x0 : ο . x0False
Theorem c7a39.. : ∀ x0 : ι → ι → ο . ∀ x1 : ι → ι . ∀ x2 : ι → ι → ο . ∀ x3 x4 : ι → ι → ι . ∀ x5 : ι → ι . ∀ x6 x7 x8 : ι → ο . ∀ x9 x10 : ι → ι . ∀ x11 : ι → ι → ο . ∀ x12 : ι → ι . ∀ x13 : ι → ι → ο . ∀ x14 x15 : ι → ι . ∀ x16 x17 : ι → ο . ∀ x18 : ι → ι → ο . ∀ x19 x20 : ι → ι . ∀ x21 . ∀ x22 : ι → ο . ∀ x23 x24 . ∀ x25 x26 : ι → ι → ι . ∀ x27 : ι → ι → ο . ∀ x28 x29 x30 x31 x32 . ∀ x33 : ι → ι → ι . ∀ x34 : ι → ι . ∀ x35 x36 . ∀ x37 x38 : ι → ι . ∀ x39 : ι → ι → ο . ∀ x40 : ι → ο . ∀ x41 . ∀ x42 : ι → ι → ι . ∀ x43 : ι → ι → ι → ο . ∀ x44 : ι → ι → ι → ι . ∀ x45 : ι → ι → ι → ι → ι . ∀ x46 : ι → ο . ∀ x47 . ∀ x48 : ι → ι → ο . ∀ x49 : ι → ι → ι . ∀ x50 : ι → ι . ∀ x51 x52 x53 : ι → ο . ∀ x54 : ι → ι → ο . ∀ x55 : ι → ι → ι → ι . ∀ x56 x57 x58 : ι → ι → ι . ∀ x59 : ι → ι → ο . ∀ x60 x61 x62 x63 : ι → ο . ∀ x64 . ∀ x65 : ι → ο . (∀ x66 x67 . x65 x67(x67 = x66False)x65 x66False)(∀ x66 x67 . x0 x66 x67x65 x67False)(∀ x66 . x65 x66(x66 = x64False)False)(∀ x66 x67 x68 . x0 x66 x67x2 x67 (x1 x68)x65 x68False)(∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67x54 x66 x67x0 (x55 x67 (x55 x67 (x58 x66 x67) (x57 x66 x67)) (x55 x67 (x56 x66 x67) (x57 x66 x67))) x66(x59 x66 x67False)False)(∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67x54 x66 x67(x0 (x55 x67 (x55 x67 (x58 x66 x67) (x56 x66 x67)) (x57 x66 x67)) x66False)(x59 x66 x67False)False)(∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67x54 x66 x67(x2 (x57 x66 x67) (x50 x67)False)(x59 x66 x67False)False)(∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67x54 x66 x67(x2 (x56 x66 x67) (x50 x67)False)(x59 x66 x67False)False)(∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67x54 x66 x67(x2 (x58 x66 x67) (x50 x67)False)(x59 x66 x67False)False)(∀ x66 x67 x68 x69 x70 . (x63 x70False)x51 x70x62 x70x52 x70x61 x70x53 x70x60 x70x54 x66 x70x0 (x55 x70 (x3 x66 x70) (x4 x66 x70)) x66x2 x67 (x50 x70)x2 x69 (x50 x70)x2 x68 (x50 x70)x0 (x55 x70 (x55 x70 x67 x69) x68) x66(x0 (x55 x70 (x55 x70 x67 x68) (x55 x70 x69 x68)) x66False)False)(∀ x66 x67 x68 x69 x70 . (x63 x70False)x51 x70x62 x70x52 x70x61 x70x53 x70x60 x70x54 x66 x70(x0 (x55 x70 (x49 x66 x70) (x4 x66 x70)) x66False)x2 x67 (x50 x70)x2 x69 (x50 x70)x2 x68 (x50 x70)x0 (x55 x70 (x55 x70 x67 x69) x68) x66(x0 (x55 x70 (x55 x70 x67 x68) (x55 x70 x69 x68)) x66False)False)(∀ x66 x67 x68 x69 x70 . (x63 x70False)x51 x70x62 x70x52 x70x61 x70x53 x70x60 x70x54 x66 x70(x0 (x55 x70 (x55 x70 (x3 x66 x70) (x49 x66 x70)) (x4 x66 x70)) x66False)x2 x67 (x50 x70)x2 x69 (x50 x70)x2 x68 (x50 x70)x0 (x55 x70 (x55 x70 x67 x69) x68) x66(x0 (x55 x70 (x55 x70 x67 x68) (x55 x70 x69 x68)) x66False)False)(∀ x66 x67 x68 x69 x70 . (x63 x70False)x51 x70x62 x70x52 x70x61 x70x53 x70x60 x70x54 x66 x70(x2 (x4 x66 x70) (x50 x70)False)x2 x67 (x50 x70)x2 x69 (x50 x70)x2 x68 (x50 x70)x0 (x55 x70 (x55 x70 x67 x69) x68) x66(x0 (x55 x70 (x55 x70 x67 x68) (x55 x70 x69 x68)) x66False)False)(∀ x66 x67 x68 x69 x70 . (x63 x70False)x51 x70x62 x70x52 x70x61 x70x53 x70x60 x70x54 x66 x70(x2 (x49 x66 x70) (x50 x70)False)x2 x67 (x50 x70)x2 x69 (x50 x70)x2 x68 (x50 x70)x0 (x55 x70 (x55 x70 x67 x69) x68) x66(x0 (x55 x70 (x55 x70 x67 x68) (x55 x70 x69 x68)) x66False)False)(∀ x66 x67 x68 x69 x70 . (x63 x70False)x51 x70x62 x70x52 x70x61 x70x53 x70x60 x70x54 x66 x70(x2 (x3 x66 x70) (x50 x70)False)x2 x67 (x50 x70)x2 x69 (x50 x70)x2 x68 (x50 x70)x0 (x55 x70 (x55 x70 x67 x69) x68) x66(x0 (x55 x70 (x55 x70 x67 x68) (x55 x70 x69 x68)) x66False)False)(∀ x66 x67 x68 . x0 x67 x68x2 x68 (x1 x66)(x2 x67 x66False)False)(∀ x66 x67 . x48 x67 x66(x2 x67 (x1 x66)False)False)(∀ x66 x67 . x2 x67 (x1 x66)(x48 x67 x66False)False)(∀ x66 x67 . x2 x66 x67(x65 x67False)(x0 x66 x67False)False)(∀ x66 x67 . x0 x67 x66(x2 x67 x66False)False)(x65 x47False)(∀ x66 . (x48 x66 x66False)False)(∀ x66 x67 x68 x69 . x46 x69x43 x69 (x42 x66 x66) x66x2 x69 (x1 (x42 (x42 x66 x66) x66))x2 x67 x66x2 x68 x66(x45 x66 x69 x67 x68 = x44 x69 x67 x68False)False)(∀ x66 . (x63 x66False)x6 x66x65 (x5 x66)False)(∀ x66 . (x63 x66False)x6 x66(x2 (x5 x66) (x1 (x50 x66))False)False)(∀ x66 . (x7 x66False)x6 x66x8 (x9 x66)False)(∀ x66 . (x7 x66False)x6 x66(x2 (x9 x66) (x1 (x50 x66))False)False)(∀ x66 . (x63 x66False)x6 x66(x8 (x10 x66)False)False)(∀ x66 . (x63 x66False)x6 x66x65 (x10 x66)False)(∀ x66 . (x63 x66False)x6 x66(x2 (x10 x66) (x1 (x50 x66))False)False)((x7 x41False)False)(x63 x41False)((x40 x41False)False)(∀ x66 . (x63 x66False)x51 x66x62 x66x52 x66x61 x66x60 x66(x11 (x12 x66) x66False)False)(∀ x66 . (x63 x66False)x51 x66x62 x66x52 x66x61 x66x60 x66(x2 (x12 x66) (x50 x66)False)False)(∀ x66 . (x7 x66False)x40 x66x13 (x14 x66) x66False)(∀ x66 . (x7 x66False)x40 x66(x2 (x14 x66) (x50 x66)False)False)(∀ x66 . x40 x66(x13 (x15 x66) x66False)False)(∀ x66 . x40 x66(x2 (x15 x66) (x50 x66)False)False)(∀ x66 . (x16 x66False)x6 x66x17 (x50 x66)False)(∀ x66 . x16 x66x6 x66(x17 (x50 x66)False)False)(∀ x66 . x7 x66x6 x66(x8 (x50 x66)False)False)(∀ x66 . (x7 x66False)x6 x66x8 (x50 x66)False)(∀ x66 . (x63 x66False)x6 x66x65 (x50 x66)False)(∀ x66 . (x63 x66False)x51 x66x62 x66x52 x66x61 x66x60 x66(x39 (x38 x66) x66False)False)(∀ x66 . x63 x66x6 x66(x65 (x50 x66)False)False)(∀ x66 . (x63 x66False)x51 x66x62 x66x52 x66x61 x66x60 x66(x11 (x38 x66) x66False)False)(∀ x66 . (x63 x66False)x51 x66x62 x66x52 x66x61 x66x60 x66(x18 (x38 x66) x66False)False)(∀ x66 . x40 x66(x13 (x38 x66) x66False)False)(∀ x66 . (x63 x66False)x51 x66x62 x66x52 x66x61 x66x53 x66x60 x66(x59 (x19 x66) x66False)False)(∀ x66 . (x63 x66False)x51 x66x62 x66x52 x66x61 x66x60 x66(x54 (x37 x66) x66False)False)(∀ x66 . (x2 (x20 x66) x66False)False)((x40 x36False)False)((x60 x21False)False)((x6 x35False)False)((x22 x23False)False)(∀ x66 . x22 x66(x2 (x34 x66) (x1 (x42 (x42 (x50 x66) (x50 x66)) (x50 x66)))False)False)(∀ x66 . x22 x66(x43 (x34 x66) (x42 (x50 x66) (x50 x66)) (x50 x66)False)False)(∀ x66 . x22 x66(x46 (x34 x66)False)False)((x65 x24False)False)(∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67x59 x66 x67(x2 x66 (x1 (x50 x67))False)False)(∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67x59 x66 x67x65 x66False)(∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x60 x67x54 x66 x67(x2 x66 (x1 (x50 x67))False)False)(∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x60 x67x54 x66 x67x65 x66False)(∀ x66 . x40 x66(x6 x66False)False)(∀ x66 . x60 x66(x40 x66False)False)(∀ x66 . x60 x66(x22 x66False)False)(∀ x66 . x22 x66(x6 x66False)False)(∀ x66 x67 x68 x69 . x46 x69x43 x69 (x42 x66 x66) x66x2 x69 (x1 (x42 (x42 x66 x66) x66))x2 x67 x66x2 x68 x66(x2 (x45 x66 x69 x67 x68) x66False)False)(∀ x66 . x40 x66(x2 (x38 x66) (x50 x66)False)False)(∀ x66 x67 x68 . x22 x68x2 x66 (x50 x68)x2 x67 (x50 x68)(x2 (x55 x68 x66 x67) (x50 x68)False)False)(∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67(x65 x66False)x2 x66 (x1 (x50 x67))x0 (x38 x67) x66x0 (x55 x67 (x25 x66 x67) (x26 x66 x67)) x66(x59 x66 x67False)False)(∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67(x65 x66False)x2 x66 (x1 (x50 x67))x0 (x38 x67) x66(x0 (x55 x67 (x33 x66 x67) (x26 x66 x67)) x66False)(x59 x66 x67False)False)(∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67(x65 x66False)x2 x66 (x1 (x50 x67))x0 (x38 x67) x66(x0 (x55 x67 (x55 x67 (x25 x66 x67) (x33 x66 x67)) (x26 x66 x67)) x66False)(x59 x66 x67False)False)(∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67(x65 x66False)x2 x66 (x1 (x50 x67))x0 (x38 x67) x66(x2 (x26 x66 x67) (x50 x67)False)(x59 x66 x67False)False)(∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67(x65 x66False)x2 x66 (x1 (x50 x67))x0 (x38 x67) x66(x2 (x33 x66 x67) (x50 x67)False)(x59 x66 x67False)False)(∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67(x65 x66False)x2 x66 (x1 (x50 x67))x0 (x38 x67) x66(x2 (x25 x66 x67) (x50 x67)False)(x59 x66 x67False)False)(∀ x66 x67 x68 x69 x70 . (x63 x70False)x51 x70x62 x70x52 x70x61 x70x53 x70x60 x70(x65 x66False)x2 x66 (x1 (x50 x70))x59 x66 x70x2 x69 (x50 x70)x2 x67 (x50 x70)x2 x68 (x50 x70)x0 (x55 x70 (x55 x70 x69 x67) x68) x66x0 (x55 x70 x67 x68) x66(x0 (x55 x70 x69 x68) x66False)False)(∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67(x65 x66False)x2 x66 (x1 (x50 x67))x59 x66 x67(x0 (x38 x67) x66False)False)((x64 = x24False)False)(∀ x66 x67 x68 . x22 x68x2 x66 (x50 x68)x2 x67 (x50 x68)(x55 x68 x66 x67 = x45 (x50 x68) (x34 x68) x66 x67False)False)(∀ x66 . x6 x66x27 x66 x64(x63 x66False)False)(∀ x66 . x6 x66x63 x66(x27 x66 x64False)False)(∀ x66 . x6 x66(x16 x66False)x7 x66False)(∀ x66 . x6 x66x7 x66(x16 x66False)False)(∀ x66 . x6 x66(x16 x66False)x16 x66False)(∀ x66 . x6 x66(x16 x66False)x63 x66False)(∀ x66 . x6 x66x63 x66(x16 x66False)False)(∀ x66 . x6 x66x63 x66(x63 x66False)False)(∀ x66 . x6 x66(x7 x66False)x63 x66False)(∀ x66 . x6 x66x63 x66(x7 x66False)False)(∀ x66 . x6 x66(x7 x66False)x63 x66False)(∀ x66 . x6 x66x27 x66 x47(x7 x66False)False)(∀ x66 . x6 x66x27 x66 x47x63 x66False)(∀ x66 . x6 x66(x63 x66False)x7 x66(x27 x66 x47False)False)(∀ x66 x67 . x0 x66 x67x0 x67 x66False)(∀ x66 x67 x68 . x2 x68 (x50 x32)x2 x66 (x50 x32)x2 x67 (x50 x32)x0 (x55 x32 (x55 x32 x68 x66) x67) x31(x0 (x55 x32 (x55 x32 x68 x67) (x55 x32 x66 x67)) x31False)(x59 x31 x32False)False)(x59 x31 x32x0 (x55 x32 (x55 x32 x30 x29) (x55 x32 x28 x29)) x31False)(x59 x31 x32(x0 (x55 x32 (x55 x32 x30 x28) x29) x31False)False)(x59 x31 x32(x2 x29 (x50 x32)False)False)(x59 x31 x32(x2 x28 (x50 x32)False)False)(x59 x31 x32(x2 x30 (x50 x32)False)False)((x54 x31 x32False)False)((x60 x32False)False)((x53 x32False)False)((x61 x32False)False)((x52 x32False)False)((x62 x32False)False)((x51 x32False)False)(x63 x32False)False (proof)