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Proofgold Proposition

∀ x0 : ι → ι → ο . ∀ x1 : ι → ι . ∀ x2 : ι → ι → ο . ∀ x3 : ι → ι → ι . ∀ x4 . ∀ x5 : ι → ο . ∀ x6 . ∀ x7 x8 : ι → ο . ∀ x9 x10 . ∀ x11 : ι → ο . ∀ x12 x13 x14 x15 . ∀ x16 : ι → ι → ι → ι . ∀ x17 : ι → ι → ι . ∀ x18 : ι → ο . ∀ x19 : ι → ι . ∀ x20 : ι → ι → ι . ∀ x21 x22 : ι → ο . ∀ x23 x24 x25 x26 . ∀ x27 x28 x29 x30 x31 : ι → ο . ∀ x32 . ∀ x33 : ι → ι → ι → ι . ∀ x34 : ι → ι → ι . ∀ x35 x36 x37 x38 x39 x40 . ∀ x41 x42 : ι → ο . ∀ x43 x44 : ι → ι → ι . ∀ x45 x46 : ι → ι → ο . ∀ x47 : ι → ι → ι . ∀ x48 : ι → ο . ∀ x49 . ∀ x50 : ι → ο . (∀ x51 x52 . x50 x52(x52 = x51False)x50 x51False)(∀ x51 x52 . x0 x51 x52x50 x52False)(∀ x51 . x50 x51(x51 = x49False)False)(∀ x51 x52 x53 . x0 x51 x52x2 x52 (x1 x53)x50 x53False)(∀ x51 x52 x53 . x48 x53x48 x51x48 x52(x46 x53 x51False)(x46 x52 x53False)(x0 x53 (x47 x51 x52)False)False)(∀ x51 x52 x53 . x48 x53x48 x51x48 x52x0 x53 (x47 x51 x52)x46 x52 x53False)(∀ x51 x52 x53 . x48 x53x48 x51x48 x52x0 x53 (x47 x51 x52)x46 x53 x51False)(∀ x51 x52 x53 . x0 x52 x53x2 x53 (x1 x51)(x2 x52 x51False)False)(∀ x51 x52 . x45 x52 x51(x2 x52 (x1 x51)False)False)(∀ x51 x52 . x2 x52 (x1 x51)(x45 x52 x51False)False)(∀ x51 x52 x53 . x48 x53x48 x51x48 x52(x46 x53 x51False)x46 x53 x52(x0 x53 (x44 x51 x52)False)False)(∀ x51 x52 x53 . x48 x53x48 x51x48 x52x0 x53 (x44 x51 x52)(x46 x53 x52False)False)(∀ x51 x52 x53 . x48 x53x48 x51x48 x52x0 x53 (x44 x51 x52)x46 x53 x51False)(∀ x51 x52 x53 . x48 x53x48 x51x48 x52x46 x53 x51x46 x51 x52(x46 x53 x52False)False)(∀ x51 x52 x53 . x0 x52 x53x0 x51 x53x0 x51 (x43 x53 x52)False)(∀ x51 x52 . x0 x52 x51(x0 (x43 x51 x52) x51False)False)(∀ x51 x52 . x2 x51 x52(x50 x52False)(x0 x51 x52False)False)(∀ x51 x52 . x48 x52x48 x51(x46 x51 x52False)x46 x51 (x3 x51 x52)False)(∀ x51 x52 . x48 x52x48 x51(x46 x51 x52False)x46 (x3 x51 x52) x52False)(∀ x51 x52 . x48 x52x48 x51(x46 x51 x52False)(x48 (x3 x51 x52)False)False)(∀ x51 x52 . x0 x52 x51(x2 x52 x51False)False)(∀ x51 x52 . x48 x52x48 x51(x46 x52 x52False)False)(∀ x51 . (x45 x51 x51False)False)((x48 x4False)False)((x50 x4False)False)((x5 x6False)False)((x48 x6False)False)((x7 x6False)False)((x50 x6False)False)((x8 x9False)False)((x48 x9False)False)((x5 x10False)False)((x8 x10False)False)((x48 x10False)False)((x7 x10False)False)((x11 x12False)False)((x42 x12False)False)(x50 x12False)((x41 x40False)False)((x48 x40False)False)((x5 x39False)False)((x41 x39False)False)((x48 x39False)False)((x7 x39False)False)(x50 x38False)((x42 x13False)False)(x50 x13False)((x48 x14False)False)((x5 x37False)False)((x50 x15False)False)((x42 x36False)False)(x50 x36False)(∀ x51 x52 x53 x54 . x48 x54x48 x51x2 x53 x35x52 = x53(x46 x53 x54False)(x46 x51 x53False)(x0 x52 (x34 x54 x51)False)False)(∀ x51 x52 x53 . x48 x53x48 x51x0 x52 (x34 x53 x51)x46 x51 (x16 x51 x53 x52)False)(∀ x51 x52 x53 . x48 x53x48 x51x0 x52 (x34 x53 x51)x46 (x16 x51 x53 x52) x53False)(∀ x51 x52 x53 . x48 x53x48 x51x0 x52 (x34 x53 x51)(x52 = x16 x51 x53 x52False)False)(∀ x51 x52 x53 . x48 x53x48 x51x0 x52 (x34 x53 x51)(x2 (x16 x51 x53 x52) x35False)False)(∀ x51 x52 x53 x54 . x48 x54x48 x51x2 x53 x35x52 = x53(x46 x53 x54False)x46 x53 x51(x0 x52 (x17 x54 x51)False)False)(∀ x51 x52 x53 . x48 x53x48 x51x0 x52 (x17 x53 x51)(x46 (x33 x51 x53 x52) x51False)False)(∀ x51 x52 x53 . x48 x53x48 x51x0 x52 (x17 x53 x51)x46 (x33 x51 x53 x52) x53False)(∀ x51 x52 x53 . x48 x53x48 x51x0 x52 (x17 x53 x51)(x52 = x33 x51 x53 x52False)False)(∀ x51 x52 x53 . x48 x53x48 x51x0 x52 (x17 x53 x51)(x2 (x33 x51 x53 x52) x35False)False)(∀ x51 . x48 x51(x50 (x47 x51 x51)False)False)(∀ x51 . x48 x51(x50 (x44 x51 x51)False)False)(x50 x35False)(∀ x51 x52 . x48 x52x48 x51(x18 (x47 x52 x51)False)False)(∀ x51 x52 . x48 x52x48 x51(x18 (x44 x52 x51)False)False)((x18 x35False)False)((x50 x49False)False)(∀ x51 . (x2 (x19 x51) x51False)False)((x50 x32False)False)(∀ x51 x52 . x18 x52x0 (x20 x51 x52) x51(x45 x52 x51False)False)(∀ x51 x52 . x18 x52(x0 (x20 x51 x52) x52False)(x45 x52 x51False)False)(∀ x51 x52 . x18 x52(x48 (x20 x51 x52)False)(x45 x52 x51False)False)(∀ x51 x52 x53 . x18 x53x45 x53 x51x48 x52x0 x52 x53(x0 x52 x51False)False)(∀ x51 x52 . x48 x52x48 x51(x47 x52 x51 = x34 x52 x51False)False)(∀ x51 x52 . x48 x52x48 x51(x44 x52 x51 = x17 x52 x51False)False)((x49 = x32False)False)(∀ x51 x52 . x48 x52x48 x51(x46 x52 x51False)(x46 x51 x52False)False)(∀ x51 . x48 x51(x41 x51False)(x8 x51False)(x48 x51False)False)(∀ x51 . x48 x51(x41 x51False)(x8 x51False)(x50 x51False)False)(∀ x51 . x50 x51x48 x51x8 x51False)(∀ x51 . x50 x51x48 x51x41 x51False)(∀ x51 . x50 x51x48 x51(x48 x51False)False)(∀ x51 . x2 x51 (x1 x35)(x18 x51False)False)(∀ x51 . (x50 x51False)x48 x51(x41 x51False)(x8 x51False)False)(∀ x51 . (x50 x51False)x48 x51(x41 x51False)(x48 x51False)False)(∀ x51 . x48 x51x8 x51x41 x51False)(∀ x51 . x48 x51x8 x51(x48 x51False)False)(∀ x51 . x48 x51x8 x51x50 x51False)(∀ x51 . x30 x51(x31 x51False)False)(∀ x51 . (x50 x51False)x48 x51(x8 x51False)(x41 x51False)False)(∀ x51 . (x50 x51False)x48 x51(x8 x51False)(x48 x51False)False)(∀ x51 . x5 x51(x48 x51False)False)(∀ x51 . x30 x51(x18 x51False)False)(∀ x51 . x48 x51x41 x51x8 x51False)(∀ x51 . x48 x51x41 x51(x48 x51False)False)(∀ x51 . x48 x51x41 x51x50 x51False)(∀ x51 . x5 x51(x7 x51False)False)(∀ x51 . x21 x51(x30 x51False)False)(∀ x51 . x29 x51(x48 x51False)False)(∀ x51 . x29 x51(x5 x51False)False)(∀ x51 . x28 x51(x21 x51False)False)(∀ x51 . x50 x51(x11 x51False)False)(∀ x51 x52 . x42 x52x2 x51 (x1 x52)(x42 x51False)False)(∀ x51 x52 . x28 x52x2 x51 (x1 x52)(x28 x51False)False)(∀ x51 x52 . x21 x52x2 x51 (x1 x52)(x21 x51False)False)(∀ x51 x52 . x30 x52x2 x51 (x1 x52)(x30 x51False)False)(∀ x51 x52 . x18 x52x2 x51 (x1 x52)(x18 x51False)False)(∀ x51 . x2 x51 x35(x48 x51False)False)(∀ x51 . x42 x51(x28 x51False)False)(∀ x51 x52 . x31 x52x2 x51 (x1 x52)(x31 x51False)False)(∀ x51 . x50 x51(x42 x51False)False)(∀ x51 x52 . x42 x52x2 x51 x52(x29 x51False)False)(∀ x51 x52 . x28 x52x2 x51 x52(x27 x51False)False)(∀ x51 x52 . x21 x52x2 x51 x52(x22 x51False)False)(∀ x51 x52 . x30 x52x2 x51 x52(x5 x51False)False)(∀ x51 x52 . x18 x52x2 x51 x52(x48 x51False)False)(∀ x51 x52 . x31 x52x2 x51 x52(x7 x51False)False)(∀ x51 x52 . x0 x51 x52x0 x52 x51False)((x45 (x44 x26 x25) (x47 x23 x24)False)False)(x46 x25 x26False)(x46 x23 x26False)((x48 x24False)False)((x48 x25False)False)((x48 x23False)False)((x48 x26False)False)False
type
prop
theory
HotG
name
-
proof
PURU3..
Megalodon
-
proofgold address
TMcQG..
creator
35140 PrPhD../6cd6f..
owner
35141 PrPhD../889c6..
term root
d0488..