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Proofgold Proposition

∀ x0 : ι → ι → ο . ∀ x1 : ι → ι . ∀ x2 : ι → ο . ∀ x3 . ∀ x4 : ι → ο . ∀ x5 . ∀ x6 : ι → ο . ∀ x7 . ∀ x8 : ι → ο . ∀ x9 x10 x11 . ∀ x12 : ι → ο . ∀ x13 . ∀ x14 : ι → ο . ∀ x15 x16 x17 . ∀ x18 x19 : ι → ι → ι . ∀ x20 x21 : ι → ο . ∀ x22 . ∀ x23 : ι → ι → ι → ι . ∀ x24 x25 : ι → ι → ι . ∀ x26 x27 : ι → ο . ∀ x28 x29 x30 . ∀ x31 : ι → ο . ∀ x32 : ι → ι → ι → ι . ∀ x33 x34 x35 : ι → ι . ∀ x36 x37 . ∀ x38 : ι → ο . ∀ x39 . ∀ x40 : ι → ο . ∀ x41 . ∀ x42 x43 : ι → ο . ∀ x44 : ι → ι → ο . ∀ x45 . ∀ x46 : ι → ο . (∀ x47 x48 . x46 x48(x48 = x47False)x46 x47False)(∀ x47 x48 . x0 x47 x48x46 x48False)(∀ x47 . x46 x47(x47 = x45False)False)(∀ x47 x48 . x0 x48 x47(x0 (x1 x48) (x1 x47)False)False)(∀ x47 x48 . x44 x47 x48(x46 x48False)(x0 x47 x48False)False)(∀ x47 x48 . x0 x48 x47(x44 x48 x47False)False)(∀ x47 x48 x49 . x43 x49x0 x48 x47x0 x47 x49(x0 x48 x49False)False)((x2 x3False)False)(x46 x3False)((x4 x5False)False)(x46 x5False)(x6 x7False)((x42 x7False)False)((x8 x7False)False)((x4 x41False)False)((x42 x9False)False)((x40 x9False)False)((x8 x9False)False)(x46 x9False)((x42 x10False)False)((x40 x10False)False)((x8 x10False)False)(x46 x39False)((x40 x11False)False)((x8 x11False)False)((x12 x13False)False)((x38 x13False)False)((x43 x13False)False)(x46 x13False)((x14 x15False)False)((x42 x15False)False)((x8 x15False)False)((x46 x37False)False)((x8 x16False)False)(x46 x16False)((x12 x17False)False)((x42 x36False)False)((x8 x36False)False)(∀ x47 . (x46 x47False)x8 x47x46 (x35 x47)False)(∀ x47 x48 x49 x50 . (x8 (x18 (x19 x48 x47) (x19 x50 x49))False)False)(∀ x47 x48 . (x8 (x34 (x19 x48 x47))False)False)(∀ x47 x48 . x46 (x18 x47 x48)False)(∀ x47 . x46 (x34 x47)False)(∀ x47 . x20 x47x8 x47(x20 (x35 x47)False)False)((x46 x45False)False)(∀ x47 x48 . (x42 (x34 (x19 x48 x47))False)False)(∀ x47 x48 . x8 x48x42 x48x8 x47x42 x47(x2 (x18 x48 x47)False)False)(∀ x47 . x8 x47x42 x47(x2 (x34 x47)False)False)(∀ x47 . x8 x47x42 x47(x6 x47False)x20 (x35 x47)False)(∀ x47 . x8 x47x42 x47x6 x47(x20 (x35 x47)False)False)(∀ x47 . x46 x47(x46 (x35 x47)False)False)(∀ x47 . x8 x47x40 x47x42 x47(x21 (x35 x47)False)False)(∀ x47 . (x44 (x33 x47) x47False)False)((x46 x22False)False)(∀ x47 . (x12 (x1 x47)False)False)(∀ x47 x48 . (x19 x48 x47 = x18 (x18 x48 x47) (x34 x48)False)False)((x45 = x22False)False)(∀ x47 x48 x49 . (x23 x47 x48 x49 = x49False)(x23 x47 x48 x49 = x48False)(x0 (x23 x47 x48 x49) x47False)(x47 = x18 x49 x48False)False)(∀ x47 x48 x49 . x0 (x23 x47 x48 x49) x47x23 x47 x48 x49 = x48(x47 = x18 x49 x48False)False)(∀ x47 x48 x49 . x0 (x23 x47 x48 x49) x47x23 x47 x48 x49 = x49(x47 = x18 x49 x48False)False)(∀ x47 x48 x49 x50 . x49 = x18 x47 x48x50 = x48(x0 x50 x49False)False)(∀ x47 x48 x49 x50 . x49 = x18 x48 x47x50 = x48(x0 x50 x49False)False)(∀ x47 x48 x49 x50 . x50 = x18 x48 x49x0 x47 x50(x47 = x48False)(x47 = x49False)False)(∀ x47 x48 . (x0 (x19 (x25 x48 x47) (x24 x48 x47)) x47False)(x0 (x24 x48 x47) x48False)(x48 = x35 x47False)False)(∀ x47 x48 x49 . x0 (x24 x49 x48) x49x0 (x19 x47 (x24 x49 x48)) x48(x49 = x35 x48False)False)(∀ x47 x48 x49 x50 . x49 = x35 x50x0 (x19 x48 x47) x50(x0 x47 x49False)False)(∀ x47 x48 x49 . x48 = x35 x49x0 x47 x48(x0 (x19 (x32 x47 x48 x49) x47) x49False)False)(∀ x47 x48 . (x18 x48 x47 = x18 x47 x48False)False)(∀ x47 . x46 x47(x31 x47False)False)(∀ x47 x48 . x2 x48x44 x47 x48(x42 x47False)False)(∀ x47 x48 . x2 x48x44 x47 x48(x8 x47False)False)(∀ x47 . x46 x47(x4 x47False)False)(∀ x47 . x46 x47(x2 x47False)False)(∀ x47 . x4 x47(x12 x47False)False)(∀ x47 . x20 x47x8 x47x42 x47(x6 x47False)False)(∀ x47 . x20 x47x8 x47x42 x47(x42 x47False)False)(∀ x47 . x20 x47x8 x47x42 x47(x8 x47False)False)(∀ x47 x48 . x12 x48x44 x47 x48(x12 x47False)False)(∀ x47 . x8 x47x42 x47(x6 x47False)(x42 x47False)False)(∀ x47 . x8 x47x42 x47(x6 x47False)(x8 x47False)False)(∀ x47 . x8 x47x42 x47(x6 x47False)x20 x47False)(∀ x47 . x46 x47x8 x47(x40 x47False)False)(∀ x47 . x46 x47x8 x47(x8 x47False)False)(∀ x47 . x46 x47(x26 x47False)False)(∀ x47 . x46 x47x8 x47x42 x47(x6 x47False)False)(∀ x47 . x46 x47x8 x47x42 x47(x42 x47False)False)(∀ x47 . x46 x47x8 x47x42 x47(x8 x47False)False)(∀ x47 . x46 x47x8 x47(x27 x47False)False)(∀ x47 . x46 x47x8 x47(x8 x47False)False)(∀ x47 . x46 x47(x12 x47False)False)(∀ x47 . x43 x47x38 x47(x12 x47False)False)(∀ x47 . x46 x47x8 x47x42 x47(x14 x47False)False)(∀ x47 . x46 x47x8 x47x42 x47(x42 x47False)False)(∀ x47 . x46 x47x8 x47x42 x47(x8 x47False)False)(∀ x47 . x46 x47(x8 x47False)False)(∀ x47 . x12 x47(x38 x47False)False)(∀ x47 . x12 x47(x43 x47False)False)(∀ x47 . x46 x47(x42 x47False)False)(∀ x47 x48 . x0 x47 x48x0 x48 x47False)(x0 (x1 x29) (x1 (x19 x28 x30))False)((x0 x29 (x35 x28)False)False)((x8 x28False)False)False
type
prop
theory
HotG
name
-
proof
PUhtp..
Megalodon
-
proofgold address
TMRZP..
creator
35148 PrPhD../833b4..
owner
35153 PrPhD../b14f7..
term root
15937..