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PUe1g3JZ3T9ddBJiBqdSyMz4evPYUTg3Tz4
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38c55../903ef.. bday: 35148 doc published by PrPhD..
Definition FalseFalse := ∀ x0 : ο . x0
Definition notnot := λ x0 : ο . x0False
Theorem 6ae76.. : ∀ x0 x1 : ι → ο . ∀ x2 : ι → ι . ∀ x3 : ι → ι → ι → ο . ∀ x4 : ι → ι → ο . ∀ x5 : ι → ι → ι . ∀ x6 : ι → ι . ∀ x7 : ι → ι → ι → ι → ι . ∀ x8 : ι → ι → ι → ι → ι → ο . ∀ x9 x10 x11 x12 : ι → ι → ι . ∀ x13 : ι → ι → ο . ∀ x14 : ι → ι → ι → ο . ∀ x15 x16 : ι → ο . ∀ x17 x18 : ι → ι → ο . ∀ x19 . ∀ x20 : ι → ι → ι . ∀ x21 : ι → ι → ο . ∀ x22 x23 : ι → ο . ∀ x24 : ι → ι . ∀ x25 : ι → ο . ∀ x26 : ι → ι → ι . ∀ x27 . ∀ x28 : ι → ο . ∀ x29 x30 : ι → ι . ∀ x31 x32 : ι → ι → ι . ∀ x33 . ∀ x34 x35 : ι → ο . ∀ x36 . ∀ x37 : ι → ι → ι → ι → ο . ∀ x38 : ι → ι → ο . ∀ x39 x40 x41 x42 x43 . ∀ x44 : ι → ι → ο . ∀ x45 . ∀ x46 : ι → ι . ∀ x47 : ι → ι → ι . ∀ x48 x49 . ∀ x50 : ι → ο . ∀ x51 : ι → ι → ο . ∀ x52 : ι → ι . ∀ x53 . ∀ x54 : ι → ο . ∀ x55 : ι → ι → ο . ∀ x56 : ι → ι → ι . ∀ x57 . ∀ x58 : ι → ο . ∀ x59 . ∀ x60 : ι → ο . (∀ x61 x62 . x60 x62(x62 = x61False)x60 x61False)(∀ x61 x62 . (x0 x62False)x16 x62x1 x62x15 x61x3 x61 (x2 x62) (x2 x62)x14 x61 (x2 x62) (x2 x62)x4 x61 (x6 (x5 (x2 x62) (x2 x62)))(x8 x62 (x7 (x2 x62) (x2 x62) x61 (x9 x61 x62)) (x7 (x2 x62) (x2 x62) x61 (x12 x61 x62)) (x7 (x2 x62) (x2 x62) x61 (x11 x61 x62)) (x7 (x2 x62) (x2 x62) x61 (x10 x61 x62))False)(x8 x62 (x9 x61 x62) (x12 x61 x62) (x11 x61 x62) (x10 x61 x62)False)(x13 x61 x62False)False)(∀ x61 x62 . (x0 x62False)x16 x62x1 x62x15 x61x3 x61 (x2 x62) (x2 x62)x14 x61 (x2 x62) (x2 x62)x4 x61 (x6 (x5 (x2 x62) (x2 x62)))x8 x62 (x9 x61 x62) (x12 x61 x62) (x11 x61 x62) (x10 x61 x62)x8 x62 (x7 (x2 x62) (x2 x62) x61 (x9 x61 x62)) (x7 (x2 x62) (x2 x62) x61 (x12 x61 x62)) (x7 (x2 x62) (x2 x62) x61 (x11 x61 x62)) (x7 (x2 x62) (x2 x62) x61 (x10 x61 x62))(x13 x61 x62False)False)(∀ x61 x62 . (x0 x62False)x16 x62x1 x62x15 x61x3 x61 (x2 x62) (x2 x62)x14 x61 (x2 x62) (x2 x62)x4 x61 (x6 (x5 (x2 x62) (x2 x62)))(x4 (x10 x61 x62) (x2 x62)False)(x13 x61 x62False)False)(∀ x61 x62 . (x0 x62False)x16 x62x1 x62x15 x61x3 x61 (x2 x62) (x2 x62)x14 x61 (x2 x62) (x2 x62)x4 x61 (x6 (x5 (x2 x62) (x2 x62)))(x4 (x11 x61 x62) (x2 x62)False)(x13 x61 x62False)False)(∀ x61 x62 . (x0 x62False)x16 x62x1 x62x15 x61x3 x61 (x2 x62) (x2 x62)x14 x61 (x2 x62) (x2 x62)x4 x61 (x6 (x5 (x2 x62) (x2 x62)))(x4 (x12 x61 x62) (x2 x62)False)(x13 x61 x62False)False)(∀ x61 x62 . (x0 x62False)x16 x62x1 x62x15 x61x3 x61 (x2 x62) (x2 x62)x14 x61 (x2 x62) (x2 x62)x4 x61 (x6 (x5 (x2 x62) (x2 x62)))(x4 (x9 x61 x62) (x2 x62)False)(x13 x61 x62False)False)(∀ x61 x62 x63 x64 x65 x66 . (x0 x66False)x16 x66x1 x66x15 x61x3 x61 (x2 x66) (x2 x66)x14 x61 (x2 x66) (x2 x66)x4 x61 (x6 (x5 (x2 x66) (x2 x66)))x13 x61 x66x4 x65 (x2 x66)x4 x62 (x2 x66)x4 x64 (x2 x66)x4 x63 (x2 x66)x8 x66 (x7 (x2 x66) (x2 x66) x61 x65) (x7 (x2 x66) (x2 x66) x61 x62) (x7 (x2 x66) (x2 x66) x61 x64) (x7 (x2 x66) (x2 x66) x61 x63)(x8 x66 x65 x62 x64 x63False)False)(∀ x61 x62 x63 x64 x65 x66 . (x0 x66False)x16 x66x1 x66x15 x61x3 x61 (x2 x66) (x2 x66)x14 x61 (x2 x66) (x2 x66)x4 x61 (x6 (x5 (x2 x66) (x2 x66)))x13 x61 x66x4 x65 (x2 x66)x4 x62 (x2 x66)x4 x64 (x2 x66)x4 x63 (x2 x66)x8 x66 x65 x62 x64 x63(x8 x66 (x7 (x2 x66) (x2 x66) x61 x65) (x7 (x2 x66) (x2 x66) x61 x62) (x7 (x2 x66) (x2 x66) x61 x64) (x7 (x2 x66) (x2 x66) x61 x63)False)False)(∀ x61 x62 . x17 x61 x62x60 x62False)(∀ x61 . x60 x61(x61 = x59False)False)(∀ x61 x62 x63 . x17 x61 x62x4 x62 (x6 x63)x60 x63False)(∀ x61 x62 x63 . x17 x62 x63x4 x63 (x6 x61)(x4 x62 x61False)False)(∀ x61 x62 . x18 x62 x61(x4 x62 (x6 x61)False)False)(∀ x61 x62 . x4 x62 (x6 x61)(x18 x62 x61False)False)(∀ x61 x62 . x4 x61 x62(x60 x62False)(x17 x61 x62False)False)(∀ x61 x62 . x17 x62 x61(x4 x62 x61False)False)(x60 x19False)(∀ x61 . (x18 x61 x61False)False)(∀ x61 x62 x63 x64 . (x60 x64False)x15 x61x3 x61 x64 x63x4 x61 (x6 (x5 x64 x63))x4 x62 x64(x7 x64 x63 x61 x62 = x20 x61 x62False)False)((x58 x57False)False)(x60 x57False)(∀ x61 x62 . (x15 (x56 x61 x62)False)False)(∀ x61 x62 . (x21 (x56 x61 x62) x61False)False)(∀ x61 x62 . (x55 (x56 x62 x61) x61False)False)(∀ x61 x62 . (x22 (x56 x61 x62)False)False)(x54 x53False)((x15 x53False)False)((x22 x53False)False)(∀ x61 . (x23 x61False)x25 x61x60 (x24 x61)False)(∀ x61 . (x23 x61False)x25 x61(x4 (x24 x61) (x6 (x2 x61))False)False)(∀ x61 x62 . (x60 x62False)(x60 x61False)x60 (x26 x61 x62)False)(∀ x61 x62 . (x60 x62False)(x60 x61False)(x15 (x26 x61 x62)False)False)(∀ x61 x62 . (x60 x62False)(x60 x61False)(x21 (x26 x61 x62) x61False)False)(∀ x61 x62 . (x60 x62False)(x60 x61False)(x55 (x26 x61 x62) x62False)False)(∀ x61 x62 . (x60 x62False)(x60 x61False)(x22 (x26 x61 x62)False)False)(∀ x61 x62 . (x60 x62False)(x60 x61False)(x4 (x26 x61 x62) (x6 (x5 x62 x61))False)False)(x60 x27False)(∀ x61 . (x14 (x52 x61) x61 x61False)False)(∀ x61 . (x3 (x52 x61) x61 x61False)False)(∀ x61 . (x51 (x52 x61) x61False)False)(∀ x61 . (x15 (x52 x61)False)False)(∀ x61 . (x21 (x52 x61) x61False)False)(∀ x61 . (x55 (x52 x61) x61False)False)(∀ x61 . (x22 (x52 x61)False)False)(∀ x61 . (x4 (x52 x61) (x6 (x5 x61 x61))False)False)((x50 x49False)False)((x15 x49False)False)((x22 x49False)False)(∀ x61 . (x0 x61False)x25 x61x28 (x29 x61)False)(∀ x61 . (x0 x61False)x25 x61(x4 (x29 x61) (x6 (x2 x61))False)False)(∀ x61 . (x23 x61False)x25 x61(x28 (x30 x61)False)False)(∀ x61 . (x23 x61False)x25 x61x60 (x30 x61)False)(∀ x61 . (x23 x61False)x25 x61(x4 (x30 x61) (x6 (x2 x61))False)False)((x60 x48False)False)(∀ x61 x62 . (x21 (x31 x61 x62) x61False)False)(∀ x61 x62 . (x55 (x31 x62 x61) x61False)False)(∀ x61 x62 . (x22 (x31 x61 x62)False)False)(∀ x61 x62 . (x60 (x31 x61 x62)False)False)(∀ x61 x62 . (x4 (x31 x61 x62) (x6 (x5 x62 x61))False)False)(∀ x61 x62 . (x15 (x47 x61 x62)False)False)(∀ x61 x62 . (x21 (x47 x61 x62) x61False)False)(∀ x61 x62 . (x55 (x47 x62 x61) x61False)False)(∀ x61 x62 . (x22 (x47 x61 x62)False)False)(∀ x61 x62 . (x4 (x47 x61 x62) (x6 (x5 x62 x61))False)False)(∀ x61 x62 . (x3 (x32 x61 x62) x62 x61False)False)(∀ x61 x62 . (x15 (x32 x61 x62)False)False)(∀ x61 x62 . (x21 (x32 x61 x62) x61False)False)(∀ x61 x62 . (x55 (x32 x62 x61) x61False)False)(∀ x61 x62 . (x22 (x32 x61 x62)False)False)(∀ x61 x62 . (x4 (x32 x61 x62) (x6 (x5 x62 x61))False)False)((x15 x33False)False)((x22 x33False)False)(∀ x61 . (x34 x61False)x25 x61x35 (x2 x61)False)(∀ x61 . x34 x61x25 x61(x35 (x2 x61)False)False)(∀ x61 . x0 x61x25 x61(x28 (x2 x61)False)False)(∀ x61 . (x0 x61False)x25 x61x28 (x2 x61)False)(∀ x61 . (x23 x61False)x25 x61x60 (x2 x61)False)((x60 x59False)False)(∀ x61 . x23 x61x25 x61(x60 (x2 x61)False)False)(∀ x61 x62 x63 . x58 x63x22 x61x21 x61 x63x15 x61(x15 (x20 x61 x62)False)False)(∀ x61 x62 x63 . x58 x63x22 x61x21 x61 x63x15 x61(x22 (x20 x61 x62)False)False)(∀ x61 . (x4 (x46 x61) x61False)False)((x25 x36False)False)((x1 x45False)False)(∀ x61 . x1 x61(x25 x61False)False)(∀ x61 x62 x63 x64 . (x60 x64False)x15 x61x3 x61 x64 x63x4 x61 (x6 (x5 x64 x63))x4 x62 x64(x4 (x7 x64 x63 x61 x62) x63False)False)(∀ x61 x62 x63 x64 . (x0 x64False)x16 x64x1 x64x4 x61 (x2 x64)x4 x63 (x2 x64)x4 x62 (x2 x64)x8 x64 x61 x63 x61 x62(x37 x64 x61 x63 x62False)False)(∀ x61 x62 x63 x64 . (x0 x64False)x16 x64x1 x64x4 x61 (x2 x64)x4 x63 (x2 x64)x4 x62 (x2 x64)x37 x64 x61 x63 x62(x8 x64 x61 x63 x61 x62False)False)(∀ x61 . x25 x61x38 x61 x59(x23 x61False)False)(∀ x61 x62 . x58 x62x4 x61 (x6 x62)(x58 x61False)False)(∀ x61 . x25 x61x23 x61(x38 x61 x59False)False)(∀ x61 x62 x63 . (x60 x63False)(x60 x61False)x4 x62 (x6 (x5 x63 x61))x15 x62x3 x62 x63 x61(x3 x62 x63 x61False)False)(∀ x61 x62 x63 . (x60 x63False)(x60 x61False)x4 x62 (x6 (x5 x63 x61))x15 x62x3 x62 x63 x61x60 x62False)(∀ x61 x62 x63 . (x60 x63False)(x60 x61False)x4 x62 (x6 (x5 x63 x61))x15 x62x3 x62 x63 x61(x15 x62False)False)(∀ x61 x62 . x58 x62x4 x61 x62(x15 x61False)False)(∀ x61 x62 . x58 x62x4 x61 x62(x22 x61False)False)(∀ x61 . x25 x61(x34 x61False)x0 x61False)(∀ x61 . x60 x61(x58 x61False)False)(∀ x61 . x25 x61x0 x61(x34 x61False)False)(∀ x61 x62 x63 . x4 x63 (x6 (x5 x61 x62))x15 x63x50 x63x44 x63 x62(x14 x63 x61 x62False)False)(∀ x61 x62 x63 . x4 x63 (x6 (x5 x61 x62))x15 x63x50 x63x44 x63 x62(x15 x63False)False)(∀ x61 . x28 x61x22 x61x15 x61(x54 x61False)False)(∀ x61 . x28 x61x22 x61x15 x61(x15 x61False)False)(∀ x61 . x28 x61x22 x61x15 x61(x22 x61False)False)(∀ x61 . x25 x61(x34 x61False)x34 x61False)(∀ x61 . x25 x61(x34 x61False)x23 x61False)(∀ x61 x62 x63 . x4 x63 (x6 (x5 x62 x61))x15 x63x14 x63 x62 x61(x44 x63 x61False)False)(∀ x61 x62 x63 . x4 x63 (x6 (x5 x62 x61))x15 x63x14 x63 x62 x61(x50 x63False)False)(∀ x61 x62 x63 . x4 x63 (x6 (x5 x62 x61))x15 x63x14 x63 x62 x61(x15 x63False)False)(∀ x61 . x22 x61x15 x61(x54 x61False)(x15 x61False)False)(∀ x61 . x22 x61x15 x61(x54 x61False)(x22 x61False)False)(∀ x61 . x22 x61x15 x61(x54 x61False)x28 x61False)(∀ x61 . x25 x61x23 x61(x34 x61False)False)(∀ x61 . x25 x61x23 x61(x23 x61False)False)(∀ x61 x62 x63 . x60 x63x4 x61 (x6 (x5 x62 x63))(x60 x61False)False)(∀ x61 x62 . x4 x62 (x6 (x5 x61 x61))x3 x62 x61 x61(x51 x62 x61False)False)(∀ x61 . x60 x61x22 x61x15 x61(x54 x61False)False)(∀ x61 . x60 x61x22 x61x15 x61(x15 x61False)False)(∀ x61 . x60 x61x22 x61x15 x61(x22 x61False)False)(∀ x61 x62 x63 . x60 x63x4 x61 (x6 (x5 x63 x62))(x60 x61False)False)(∀ x61 x62 x63 . (x60 x63False)x4 x61 (x6 (x5 x62 x63))x3 x61 x62 x63(x51 x61 x62False)False)(∀ x61 x62 . x22 x62x15 x62x4 x61 (x6 x62)(x15 x61False)False)(∀ x61 . x25 x61(x0 x61False)x23 x61False)(∀ x61 x62 x63 . x4 x63 (x6 (x5 x61 x62))(x21 x63 x62False)False)(∀ x61 x62 x63 . x4 x63 (x6 (x5 x62 x61))(x55 x63 x62False)False)(∀ x61 x62 x63 . (x60 x63False)x60 x61x4 x62 (x6 (x5 x63 x61))x51 x62 x63False)(∀ x61 x62 x63 . x60 x63x4 x61 (x6 (x5 x63 x62))x3 x61 x63 x62(x51 x61 x63False)False)(∀ x61 . x60 x61x22 x61x15 x61(x50 x61False)False)(∀ x61 . x60 x61x22 x61x15 x61(x15 x61False)False)(∀ x61 . x60 x61x22 x61x15 x61(x22 x61False)False)(∀ x61 . x25 x61x23 x61(x0 x61False)False)(∀ x61 x62 x63 . x4 x63 (x6 (x5 x61 x62))(x22 x63False)False)(∀ x61 x62 x63 . x60 x63x4 x61 (x6 (x5 x63 x62))(x51 x61 x63False)False)(∀ x61 x62 x63 . x4 x62 (x6 (x5 x63 x61))x51 x62 x63(x3 x62 x63 x61False)False)(∀ x61 . x60 x61(x15 x61False)False)(∀ x61 . x25 x61(x0 x61False)x23 x61False)(∀ x61 . x25 x61x38 x61 x19(x0 x61False)False)(∀ x61 . x25 x61x38 x61 x19x23 x61False)(∀ x61 . x25 x61(x23 x61False)x0 x61(x38 x61 x19False)False)(∀ x61 x62 . x17 x61 x62x17 x62 x61False)((x37 x39 (x7 (x2 x39) (x2 x39) x43 x42) (x7 (x2 x39) (x2 x39) x43 x41) (x7 (x2 x39) (x2 x39) x43 x40)False)(x37 x39 x42 x41 x40False)False)(x37 x39 x42 x41 x40x37 x39 (x7 (x2 x39) (x2 x39) x43 x42) (x7 (x2 x39) (x2 x39) x43 x41) (x7 (x2 x39) (x2 x39) x43 x40)False)((x13 x43 x39False)False)((x4 x43 (x6 (x5 (x2 x39) (x2 x39)))False)False)((x14 x43 (x2 x39) (x2 x39)False)False)((x3 x43 (x2 x39) (x2 x39)False)False)((x15 x43False)False)((x4 x40 (x2 x39)False)False)((x4 x41 (x2 x39)False)False)((x4 x42 (x2 x39)False)False)((x1 x39False)False)((x16 x39False)False)(x0 x39False)False (proof)

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