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Proofgold Asset

asset id
cd1470a32c4207c8468d01a73bcd0d980a247d06b7f67617cb4489becf4578d7
asset hash
fe6d9eb88c4a11b3d455d14357e155bcac8e20b63b86e1747d8f00f88c44bc09
bday / block
35132
tx
29f4a..
preasset
doc published by PrPhD..
Definition FalseFalse := ∀ x0 : ο . x0
Definition notnot := λ x0 : ο . x0False
Theorem 4b79b.. : ∀ x0 : ι → ο . ∀ x1 . ∀ x2 : ι → ι . ∀ x3 x4 : ι → ι → ο . ∀ x5 . ∀ x6 : ι → ο . ∀ x7 : ι → ι → ι . ∀ x8 x9 x10 : ι → ι . ∀ x11 : ι → ι → ι . ∀ x12 . ∀ x13 : ι → ο . ∀ x14 . ∀ x15 : ι → ο . ∀ x16 x17 x18 x19 x20 . ∀ x21 : ι → ο . ∀ x22 . ∀ x23 : ι → ο . ∀ x24 x25 x26 x27 . ∀ x28 : ι → ι . ∀ x29 x30 . ∀ x31 x32 : ι → ο . ∀ x33 . ∀ x34 : ι → ι → ι . ∀ x35 : ι → ο . ∀ x36 x37 x38 x39 . ∀ x40 x41 : ι → ο . ∀ x42 x43 x44 x45 . ∀ x46 : ι → ο . ∀ x47 . ∀ x48 x49 : ι → ο . ∀ x50 : ι → ι → ι → ο . ∀ x51 . ∀ x52 x53 : ι → ι . ∀ x54 x55 x56 : ι → ι → ι . ∀ x57 . ∀ x58 : ι → ι → ο . ∀ x59 . ∀ x60 x61 : ι → ι → ι . ∀ x62 : ι → ο . (∀ x63 x64 x65 . x62 x65x62 x63x62 x64(x65 = x59False)(x60 x63 x64 = x60 (x61 x63 x65) (x61 x64 x65)False)False)(∀ x63 x64 . x0 x64(x64 = x63False)x0 x63False)(∀ x63 x64 . x58 x63 x64x0 x64False)(∀ x63 . x0 x63(x63 = x1False)False)(∀ x63 . x62 x63(x60 x63 x57 = x63False)False)(∀ x63 x64 x65 . x58 x63 x64x3 x64 (x2 x65)x0 x65False)(∀ x63 . x62 x63(x60 x59 x63 = x59False)False)(∀ x63 x64 x65 . x58 x64 x65x3 x65 (x2 x63)(x3 x64 x63False)False)(∀ x63 . x62 x63(x56 x63 x59 = x63False)False)(∀ x63 x64 . x4 x64 x63(x3 x64 (x2 x63)False)False)(∀ x63 x64 . x3 x64 (x2 x63)(x4 x64 x63False)False)(∀ x63 . x62 x63(x61 x57 x63 = x63False)False)(∀ x63 x64 . x3 x63 x64(x0 x64False)(x58 x63 x64False)False)(∀ x63 . x62 x63(x61 x63 x59 = x59False)False)(∀ x63 x64 . x58 x64 x63(x3 x64 x63False)False)((x3 x1 x5False)False)(∀ x63 . x62 x63(x55 x63 x59 = x63False)False)(∀ x63 . x6 x63(x63 = x7 (x9 (x8 x63)) (x10 x63)False)False)(∀ x63 . x6 x63(x63 = x54 (x10 x63) (x9 (x8 x63))False)False)(∀ x63 . x6 x63(x63 = x11 (x10 x63) (x8 x63)False)False)(∀ x63 x64 . x62 x64x62 x63(x56 (x53 x64) (x53 x63) = x56 x63 x64False)False)(∀ x63 x64 . x62 x64x62 x63(x55 (x53 x64) (x53 x63) = x53 (x55 x64 x63)False)False)(∀ x63 x64 x65 . x62 x65x62 x63x62 x64(x61 (x61 x65 x63) x64 = x61 x65 (x61 x63 x64)False)False)(∀ x63 x64 x65 . x62 x65x62 x63x62 x64(x55 (x55 x65 x63) x64 = x55 x65 (x55 x63 x64)False)False)(∀ x63 x64 x65 . x62 x65x62 x63x62 x64(x61 (x55 x65 x63) x64 = x55 (x61 x65 x64) (x61 x63 x64)False)False)(∀ x63 x64 x65 . x62 x65x62 x63x62 x64(x61 x65 (x60 x63 x64) = x60 (x61 x65 x63) x64False)False)(∀ x63 . x62 x63(x60 x57 x63 = x52 x63False)False)(∀ x63 . x62 x63(x61 x63 (x53 x57) = x53 x63False)False)((x3 x57 x51False)False)((x3 x57 x12False)False)((x50 x57 x51 x12False)False)((x13 x57False)False)(x0 x57False)(∀ x63 x64 . x62 x64x62 x63(x55 x64 (x53 x63) = x56 x64 x63False)False)(∀ x63 x64 . x62 x64x62 x63(x61 x64 (x52 x63) = x60 x64 x63False)False)(∀ x63 x64 . x62 x64x62 x63(x60 (x52 x64) (x52 x63) = x60 x63 x64False)False)(∀ x63 x64 . x62 x64x62 x63(x61 (x52 x64) (x52 x63) = x52 (x61 x64 x63)False)False)((x3 x14 x51False)False)((x3 x14 x12False)False)((x50 x14 x51 x12False)False)((x0 x14False)False)((x53 (x53 x57) = x57False)False)((x53 x57 = x53 x57False)False)((x53 x14 = x14False)False)((x61 x57 x57 = x57False)False)((x61 x57 x14 = x14False)False)((x61 x14 x57 = x14False)False)((x61 x14 x14 = x14False)False)((x60 (x53 x57) x57 = x53 x57False)False)((x60 x57 (x53 x57) = x53 x57False)False)((x60 x57 x57 = x57False)False)((x56 (x53 x57) (x53 x57) = x14False)False)((x56 (x53 x57) x14 = x53 x57False)False)((x56 x57 x57 = x14False)False)((x56 x57 x14 = x57False)False)((x56 x14 (x53 x57) = x57False)False)((x56 x14 x57 = x53 x57False)False)((x56 x14 x14 = x14False)False)((x55 (x53 x57) x57 = x14False)False)((x55 (x53 x57) x14 = x53 x57False)False)((x55 x57 (x53 x57) = x14False)False)((x55 x57 x14 = x57False)False)((x55 x14 (x53 x57) = x53 x57False)False)((x55 x14 x57 = x57False)False)((x55 x14 x14 = x14False)False)(∀ x63 . (x4 x63 x63False)False)(∀ x63 x64 x65 . (x0 x65False)(x0 x63False)x3 x63 (x2 x65)x3 x64 x63(x50 x64 x65 x63False)False)(∀ x63 x64 x65 . (x0 x65False)(x0 x63False)x3 x63 (x2 x65)x50 x64 x65 x63(x3 x64 x63False)False)(∀ x63 x64 . x3 x64 x51x49 x63(x7 x64 x63 = x61 x64 x63False)False)(∀ x63 x64 . x49 x64x3 x63 x51(x11 x64 x63 = x60 x64 x63False)False)((x59 = x1False)False)((x12 = x5False)False)(∀ x63 x64 . x49 x64x3 x63 x51(x54 x64 x63 = x61 x64 x63False)False)(∀ x63 . x3 x63 x51(x9 x63 = x52 x63False)False)((x48 x47False)False)(x0 x47False)((x46 x45False)False)((x0 x45False)False)((x49 x44False)False)((x46 x44False)False)((x62 x44False)False)((x0 x44False)False)((x48 x43False)False)((x15 x16False)False)((x46 x16False)False)((x49 x17False)False)((x15 x17False)False)((x46 x17False)False)((x62 x17False)False)((x13 x18False)False)((x46 x18False)False)((x49 x19False)False)((x13 x19False)False)((x46 x19False)False)((x62 x19False)False)(x0 x20False)((x6 x42False)False)((x21 x22False)False)((x41 x22False)False)((x23 x22False)False)(x0 x22False)((x21 x24False)False)(x0 x24False)((x3 x24 (x2 x51)False)False)((x40 x39False)False)((x46 x25False)False)((x49 x38False)False)((x0 x26False)False)((x6 x37False)False)((x49 x37False)False)((x62 x37False)False)((x46 x37False)False)((x3 x37 x51False)False)((x21 x27False)False)((x40 x36False)False)((x49 x36False)False)((x62 x36False)False)((x46 x36False)False)((x3 x36 x51False)False)(∀ x63 . x62 x63(x52 (x52 x63) = x63False)False)(∀ x63 . x62 x63(x53 (x53 x63) = x63False)False)(∀ x63 . x3 x63 x51(x9 (x9 x63) = x63False)False)(∀ x63 x64 . (x15 x64False)x49 x64(x15 x63False)x49 x63x15 (x55 x64 x63)False)(∀ x63 x64 . x49 x64x49 x63(x49 (x60 x64 x63)False)False)(x35 x51False)(∀ x63 x64 . x49 x64x49 x63(x49 (x56 x64 x63)False)False)(∀ x63 x64 . x49 x64x49 x63(x49 (x61 x64 x63)False)False)(∀ x63 . x6 x63(x6 (x52 x63)False)False)(∀ x63 . x6 x63(x62 (x52 x63)False)False)((x21 x5False)False)(x0 x5False)(∀ x63 x64 . x49 x64x49 x63(x49 (x55 x64 x63)False)False)(∀ x63 . x6 x63(x6 (x53 x63)False)False)(∀ x63 . x6 x63(x62 (x53 x63)False)False)(∀ x63 . x49 x63(x49 (x52 x63)False)False)(∀ x63 . x49 x63(x62 (x52 x63)False)False)(∀ x63 x64 . x6 x64x6 x63(x6 (x60 x64 x63)False)False)(∀ x63 x64 . x48 x64(x0 x63False)x48 x63x0 (x55 x63 x64)False)(∀ x63 x64 . x40 x64x40 x63(x40 (x56 x64 x63)False)False)(∀ x63 . x49 x63(x49 (x53 x63)False)False)(∀ x63 . x49 x63(x62 (x53 x63)False)False)(∀ x63 x64 . x6 x64x6 x63(x6 (x56 x64 x63)False)False)(∀ x63 x64 . x48 x64(x0 x63False)x48 x63x0 (x55 x64 x63)False)(∀ x63 . x40 x63(x40 (x53 x63)False)False)(∀ x63 . x40 x63(x62 (x53 x63)False)False)(∀ x63 x64 . (x13 x64False)x49 x64(x13 x63False)x49 x63x15 (x60 x64 x63)False)(∀ x63 x64 . (x15 x64False)x49 x64(x15 x63False)x49 x63x15 (x60 x64 x63)False)(∀ x63 x64 . (x15 x64False)x49 x64(x13 x63False)x49 x63x13 (x60 x63 x64)False)(∀ x63 x64 . (x15 x64False)x49 x64(x13 x63False)x49 x63x13 (x60 x64 x63)False)(∀ x63 . (x15 x63False)x49 x63x15 (x52 x63)False)(∀ x63 . (x15 x63False)x49 x63(x62 (x52 x63)False)False)(∀ x63 x64 . x6 x64x6 x63(x6 (x55 x64 x63)False)False)(∀ x63 x64 . x48 x64x48 x63(x48 (x61 x64 x63)False)False)(∀ x63 x64 . x40 x64x40 x63(x40 (x61 x64 x63)False)False)(∀ x63 . x15 x63x49 x63(x15 (x52 x63)False)False)(∀ x63 . x15 x63x49 x63(x62 (x52 x63)False)False)(∀ x63 . (x13 x63False)x49 x63x13 (x52 x63)False)(∀ x63 . (x13 x63False)x49 x63(x62 (x52 x63)False)False)(∀ x63 . x13 x63x49 x63(x13 (x52 x63)False)False)(∀ x63 . x13 x63x49 x63(x62 (x52 x63)False)False)(∀ x63 x64 . (x15 x64False)x49 x64(x15 x63False)x49 x63x15 (x61 x64 x63)False)(∀ x63 x64 . (x13 x64False)x49 x64(x13 x63False)x49 x63x15 (x61 x64 x63)False)(∀ x63 x64 . (x13 x64False)x49 x64(x15 x63False)x49 x63x13 (x61 x63 x64)False)(∀ x63 x64 . (x13 x64False)x49 x64(x15 x63False)x49 x63x13 (x61 x64 x63)False)(∀ x63 x64 . x15 x64x49 x64(x15 x63False)x49 x63(x13 (x56 x63 x64)False)False)(∀ x63 x64 . x15 x64x49 x64(x15 x63False)x49 x63(x15 (x56 x64 x63)False)False)(∀ x63 x64 . x13 x64x49 x64(x13 x63False)x49 x63(x15 (x56 x63 x64)False)False)((x0 x1False)False)(∀ x63 x64 . x6 x64x6 x63(x6 (x61 x64 x63)False)False)(x0 x51False)(∀ x63 x64 . x48 x64x48 x63(x48 (x55 x64 x63)False)False)(∀ x63 x64 . x40 x64x40 x63(x40 (x55 x64 x63)False)False)(∀ x63 x64 . x13 x64x49 x64(x13 x63False)x49 x63(x13 (x56 x64 x63)False)False)(∀ x63 x64 . (x15 x64False)x49 x64(x13 x63False)x49 x63x13 (x56 x63 x64)False)(∀ x63 x64 . (x15 x64False)x49 x64(x13 x63False)x49 x63x15 (x56 x64 x63)False)(∀ x63 . (x15 x63False)x49 x63x13 (x53 x63)False)(∀ x63 . (x15 x63False)x49 x63(x62 (x53 x63)False)False)(∀ x63 . (x13 x63False)x49 x63x15 (x53 x63)False)(∀ x63 . (x13 x63False)x49 x63(x62 (x53 x63)False)False)(∀ x63 x64 . x15 x64x49 x64(x13 x63False)x49 x63(x15 (x55 x63 x64)False)False)(∀ x63 x64 . x15 x64x49 x64(x13 x63False)x49 x63(x15 (x55 x64 x63)False)False)(∀ x63 x64 . x13 x64x49 x64(x15 x63False)x49 x63(x13 (x55 x63 x64)False)False)(∀ x63 x64 . x13 x64x49 x64(x15 x63False)x49 x63(x13 (x55 x64 x63)False)False)(∀ x63 x64 . (x13 x64False)x49 x64(x13 x63False)x49 x63x13 (x55 x64 x63)False)(∀ x63 x64 . (x0 x64False)(x0 x63False)x3 x63 (x2 x64)(x50 (x34 x63 x64) x64 x63False)False)(∀ x63 . (x3 (x28 x63) x63False)False)((x0 x33False)False)(∀ x63 x64 x65 . (x0 x65False)(x0 x63False)x3 x63 (x2 x65)x50 x64 x65 x63(x3 x64 x65False)False)(∀ x63 x64 . x3 x64 x51x49 x63(x3 (x7 x64 x63) x51False)False)(∀ x63 x64 . x49 x64x3 x63 x51(x3 (x11 x64 x63) x51False)False)((x50 x59 x51 x12False)False)(∀ x63 . x62 x63(x62 (x52 x63)False)False)((x3 x12 (x2 x51)False)False)(∀ x63 . x62 x63(x62 (x53 x63)False)False)(∀ x63 x64 . x49 x64x3 x63 x51(x3 (x54 x64 x63) x51False)False)(∀ x63 . x3 x63 x51(x3 (x9 x63) x51False)False)(∀ x63 . x6 x63(x40 (x10 x63)False)False)(∀ x63 . x6 x63(x50 (x8 x63) x51 x12False)False)(∀ x63 x64 . x62 x64x62 x63(x60 x64 x63 = x61 x64 (x52 x63)False)False)(∀ x63 x64 . x62 x64x62 x63(x56 x64 x63 = x55 x64 (x53 x63)False)False)(∀ x63 . x6 x63(x10 x63 = x7 (x8 x63) x63False)False)((x1 = x33False)False)(∀ x63 x64 . x3 x64 x51x49 x63(x7 x64 x63 = x7 x63 x64False)False)(∀ x63 x64 . x49 x64x3 x63 x51(x54 x64 x63 = x54 x63 x64False)False)(∀ x63 x64 . x62 x64x62 x63(x61 x64 x63 = x61 x63 x64False)False)(∀ x63 x64 . x62 x64x62 x63(x55 x64 x63 = x55 x63 x64False)False)(∀ x63 . x0 x63(x32 x63False)False)(∀ x63 . x46 x63(x13 x63False)(x15 x63False)(x46 x63False)False)(∀ x63 . x46 x63(x13 x63False)(x15 x63False)(x0 x63False)False)(∀ x63 . x3 x63 x5(x48 x63False)False)(∀ x63 . x0 x63x46 x63x15 x63False)(∀ x63 . x0 x63x46 x63x13 x63False)(∀ x63 . x0 x63x46 x63(x46 x63False)False)(∀ x63 . x0 x63(x48 x63False)False)(∀ x63 . (x0 x63False)x46 x63(x13 x63False)(x15 x63False)False)(∀ x63 . (x0 x63False)x46 x63(x13 x63False)(x46 x63False)False)(∀ x63 . x48 x63(x21 x63False)False)(∀ x63 . x46 x63x15 x63x13 x63False)(∀ x63 . x46 x63x15 x63(x46 x63False)False)(∀ x63 . x46 x63x15 x63x0 x63False)(∀ x63 x64 . x21 x64x3 x63 x64(x21 x63False)False)(∀ x63 . (x0 x63False)x46 x63(x15 x63False)(x13 x63False)False)(∀ x63 . (x0 x63False)x46 x63(x15 x63False)(x46 x63False)False)(∀ x63 . x49 x63(x46 x63False)False)(∀ x63 . x0 x63(x31 x63False)False)(∀ x63 . x46 x63x13 x63x15 x63False)(∀ x63 . x46 x63x13 x63(x46 x63False)False)(∀ x63 . x46 x63x13 x63x0 x63False)(∀ x63 . x49 x63(x62 x63False)False)(∀ x63 . x0 x63(x21 x63False)False)(∀ x63 . x48 x63x15 x63False)(∀ x63 . x48 x63(x48 x63False)False)(∀ x63 . x40 x63(x49 x63False)False)(∀ x63 . x48 x63(x46 x63False)False)(∀ x63 . x48 x63(x49 x63False)False)(∀ x63 . x40 x63(x6 x63False)False)(∀ x63 . x23 x63x41 x63(x21 x63False)False)(∀ x63 . x3 x63 x12x15 x63False)(∀ x63 . x48 x63(x40 x63False)False)(∀ x63 . x3 x63 x51(x49 x63False)False)(∀ x63 . x6 x63(x49 x63False)False)(∀ x63 . x21 x63(x41 x63False)False)(∀ x63 . x21 x63(x23 x63False)False)(∀ x63 . x48 x63(x48 x63False)False)(∀ x63 . x48 x63(x21 x63False)False)(∀ x63 x64 . x32 x64x3 x63 (x2 x64)(x32 x63False)False)(∀ x63 x64 . x58 x63 x64x58 x64 x63False)(x30 = x11 (x61 (x10 x30) x29) (x7 (x8 x30) x29)False)(x29 = x59False)((x6 x30False)False)((x40 x29False)False)False (proof)