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Proofgold Proposition

∀ x0 : ι → ο . ∀ x1 : ι → ι . ∀ x2 x3 : ι → ι → ι . ∀ x4 : ι → ι . ∀ x5 : ι → ι → ο . ∀ x6 : ι → ο . ∀ x7 . ∀ x8 : ι → ο . ∀ x9 . ∀ x10 : ι → ο . ∀ x11 x12 . ∀ x13 : ι → ι . ∀ x14 x15 : ι → ι → ι . ∀ x16 : ι → ι → ι → ι . ∀ x17 . ∀ x18 : ι → ι → ι . ∀ x19 x20 : ι → ο . ∀ x21 x22 . ∀ x23 : ι → ι . ∀ x24 . ∀ x25 : ι → ο . ∀ x26 . ∀ x27 : ι → ι . ∀ x28 . ∀ x29 : ι → ι . ∀ x30 . ∀ x31 : ι → ι → ο . ∀ x32 x33 x34 : ι → ι . ∀ x35 : ι → ο . ∀ x36 . ∀ x37 : ι → ο . ∀ x38 : ι → ι . ∀ x39 x40 : ι → ι → ο . ∀ x41 : ι → ι . ∀ x42 : ι → ο . (∀ x43 x44 . x42 x44(x44 = x43False)x42 x43False)(∀ x43 x44 . x0 x44x6 x44x5 x43 (x4 (x1 x44))(x2 (x1 x44) x43 = x3 x44 x43False)False)(∀ x43 x44 . x5 x43 x44x42 x44False)(∀ x43 . x42 x43(x43 = x7False)False)(∀ x43 x44 x45 . x5 x43 x44x40 x44 (x41 x45)x42 x45False)(∀ x43 x44 x45 . x5 x44 x45x40 x45 (x41 x43)(x40 x44 x43False)False)(∀ x43 x44 . x39 x44 x43(x40 x44 (x41 x43)False)False)(∀ x43 x44 . x40 x44 (x41 x43)(x39 x44 x43False)False)(∀ x43 x44 . x40 x43 x44(x42 x44False)(x5 x43 x44False)False)(∀ x43 x44 . x5 x44 x43(x40 x44 x43False)False)(∀ x43 x44 . x0 x44(x39 (x3 x44 x43) (x38 x44)False)False)(∀ x43 . (x39 x43 x43False)False)((x37 x36False)False)(x42 x36False)(∀ x43 . (x35 x43False)x35 (x34 x43)False)(∀ x43 . (x35 x43False)(x40 (x34 x43) (x41 x43)False)False)(∀ x43 . (x42 x43False)(x35 (x33 x43)False)False)(∀ x43 . (x42 x43False)x42 (x33 x43)False)(∀ x43 . (x42 x43False)(x40 (x33 x43) (x41 x43)False)False)(x8 x9False)((x6 x9False)False)((x0 x9False)False)(∀ x43 . (x42 x43False)(x31 (x32 x43) x43False)False)(∀ x43 . (x42 x43False)(x40 (x32 x43) (x41 x43)False)False)((x6 x30False)False)((x10 x30False)False)((x0 x30False)False)(x42 x30False)(∀ x43 . x31 (x29 x43) x43False)(∀ x43 . (x40 (x29 x43) (x41 x43)False)False)((x6 x28False)False)((x10 x28False)False)((x0 x28False)False)(x42 x11False)(∀ x43 . (x42 (x27 x43)False)False)(∀ x43 . (x40 (x27 x43) (x41 x43)False)False)((x10 x26False)False)((x0 x26False)False)((x25 x24False)False)((x6 x24False)False)((x0 x24False)False)((x42 x12False)False)(∀ x43 . (x42 x43False)x42 (x23 x43)False)(∀ x43 . (x42 x43False)(x40 (x23 x43) (x41 x43)False)False)((x0 x22False)False)(x42 x22False)((x6 x21False)False)((x0 x21False)False)(∀ x43 . (x42 x43False)x0 x43x42 (x38 x43)False)(∀ x43 . (x42 x43False)x0 x43x42 (x4 x43)False)(∀ x43 . x35 x43x0 x43(x35 (x38 x43)False)False)(∀ x43 . x35 x43x0 x43(x35 (x4 x43)False)False)(∀ x43 x44 . x42 x44x0 x44(x42 (x3 x44 x43)False)False)((x42 x7False)False)(∀ x43 . x42 (x41 x43)False)(∀ x43 x44 . x0 x44x42 x43(x42 (x3 x44 x43)False)False)(∀ x43 x44 . x0 x44x20 x44x6 x44(x42 (x2 x44 x43)False)False)(∀ x43 . (x35 x43False)x0 x43x6 x43x35 (x4 x43)False)(∀ x43 . x0 x43x6 x43(x8 x43False)x35 (x38 x43)False)(∀ x43 . x0 x43x6 x43x8 x43(x35 (x38 x43)False)False)(∀ x43 x44 . (x42 x44False)x0 x44(x42 x43False)x40 x43 (x41 (x4 x44))x42 (x3 x44 x43)False)(∀ x43 . x42 x43(x42 (x38 x43)False)False)(∀ x43 x44 . (x42 x44False)x0 x44x10 x44x6 x44x40 x43 (x4 x44)x42 (x2 x44 x43)False)(∀ x43 . x42 x43(x42 (x4 x43)False)False)(∀ x43 . x0 x43x10 x43x6 x43(x19 (x38 x43)False)False)(∀ x43 . (x40 (x13 x43) x43False)False)(∀ x43 . x0 x43x6 x43(x6 (x1 x43)False)False)(∀ x43 . x0 x43x6 x43(x0 (x1 x43)False)False)(∀ x43 x44 . x5 (x18 x43 x44) x43(x39 x44 x43False)False)(∀ x43 x44 . (x5 (x18 x43 x44) x44False)(x39 x44 x43False)False)(∀ x43 x44 x45 . x39 x44 x45x5 x43 x44(x5 x43 x45False)False)(∀ x43 x44 . x0 x44x6 x44(x14 x43 x44 = x2 x44 (x15 x43 x44)False)(x5 (x14 x43 x44) x43False)(x43 = x38 x44False)False)(∀ x43 x44 . x0 x44x6 x44(x5 (x15 x43 x44) (x4 x44)False)(x5 (x14 x43 x44) x43False)(x43 = x38 x44False)False)(∀ x43 x44 x45 . x0 x45x6 x45x5 (x14 x44 x45) x44x5 x43 (x4 x45)x14 x44 x45 = x2 x45 x43(x44 = x38 x45False)False)(∀ x43 x44 x45 x46 . x0 x46x6 x46x45 = x38 x46x5 x43 (x4 x46)x44 = x2 x46 x43(x5 x44 x45False)False)(∀ x43 x44 x45 . x0 x45x6 x45x44 = x38 x45x5 x43 x44(x43 = x2 x45 (x16 x43 x44 x45)False)False)(∀ x43 x44 x45 . x0 x45x6 x45x44 = x38 x45x5 x43 x44(x5 (x16 x43 x44 x45) (x4 x45)False)False)(∀ x43 x44 . x37 x44x40 x43 (x41 x44)(x37 x43False)False)(∀ x43 x44 . x37 x44x40 x43 x44(x6 x43False)False)(∀ x43 x44 . x37 x44x40 x43 x44(x0 x43False)False)(∀ x43 . x42 x43(x37 x43False)False)(∀ x43 . x35 x43x0 x43x6 x43(x8 x43False)False)(∀ x43 . x35 x43x0 x43x6 x43(x6 x43False)False)(∀ x43 . x35 x43x0 x43x6 x43(x0 x43False)False)(∀ x43 x44 . x35 x44x40 x43 (x41 x44)(x35 x43False)False)(∀ x43 . x0 x43x6 x43(x8 x43False)(x6 x43False)False)(∀ x43 . x0 x43x6 x43(x8 x43False)(x0 x43False)False)(∀ x43 . x0 x43x6 x43(x8 x43False)x35 x43False)(∀ x43 x44 . x42 x44x40 x43 (x41 x44)x31 x43 x44False)(∀ x43 . x42 x43x0 x43(x10 x43False)False)(∀ x43 . x42 x43x0 x43(x0 x43False)False)(∀ x43 . x42 x43x0 x43x6 x43(x8 x43False)False)(∀ x43 . x42 x43x0 x43x6 x43(x6 x43False)False)(∀ x43 . x42 x43x0 x43x6 x43(x0 x43False)False)(∀ x43 x44 . (x42 x44False)x40 x43 (x41 x44)x42 x43(x31 x43 x44False)False)(∀ x43 . x42 x43x0 x43(x20 x43False)False)(∀ x43 . x42 x43x0 x43(x0 x43False)False)(∀ x43 x44 . x0 x44x6 x44x40 x43 (x41 x44)(x6 x43False)False)(∀ x43 x44 . (x42 x44False)x40 x43 (x41 x44)(x31 x43 x44False)x42 x43False)(∀ x43 x44 . x0 x44x40 x43 (x41 x44)(x0 x43False)False)(∀ x43 . x42 x43x0 x43x6 x43(x25 x43False)False)(∀ x43 . x42 x43x0 x43x6 x43(x6 x43False)False)(∀ x43 . x42 x43x0 x43x6 x43(x0 x43False)False)(∀ x43 x44 . x42 x44x40 x43 (x41 x44)(x42 x43False)False)(∀ x43 . x42 x43(x0 x43False)False)(∀ x43 . x42 x43(x6 x43False)False)(∀ x43 x44 . x5 x43 x44x5 x44 x43False)(x39 (x38 (x1 x17)) (x41 (x38 x17))False)((x6 x17False)False)((x0 x17False)False)False
type
prop
theory
HotG
name
-
proof
PUVZp..
Megalodon
-
proofgold address
TMVNr..
creator
35148 PrPhD../bcf0f..
owner
35153 PrPhD../5bdc9..
term root
b846f..