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Proofgold Proposition

∀ x0 : ι → ι → ο . ∀ x1 : ι → ι . ∀ x2 x3 : ι → ι → ο . ∀ x4 : ι → ι → ι . ∀ x5 x6 : ι → ι → ι → ι . ∀ x7 : ι → ι . ∀ x8 : ι → ι → ο . ∀ x9 x10 x11 : ι → ι . ∀ x12 : ι → ι → ι → ι . ∀ x13 : ι → ι . ∀ x14 x15 : ι → ι → ι . ∀ x16 x17 x18 . ∀ x19 : ι → ι → ι → ι → ι . ∀ x20 . ∀ x21 : ι → ι . ∀ x22 : ι → ι → ι → ι → ι . ∀ x23 : ι → ι → ο . ∀ x24 x25 . ∀ x26 : ι → ι . ∀ x27 : ι → ι → ο . ∀ x28 : ι → ι . ∀ x29 . ∀ x30 : ι → ο . (∀ x31 x32 . x30 x32(x32 = x31False)x30 x31False)(∀ x31 x32 . x0 x31 x32x30 x32False)(∀ x31 . x30 x31(x31 = x29False)False)(∀ x31 x32 x33 . x0 x31 x32x2 x32 (x1 x33)x30 x33False)(∀ x31 x32 x33 . x0 x32 x33x2 x33 (x1 x31)(x2 x32 x31False)False)(∀ x31 x32 . x3 x32 x31(x2 x32 (x1 x31)False)False)(∀ x31 x32 . x2 x32 (x1 x31)(x3 x32 x31False)False)(∀ x31 x32 x33 . x0 x32 x33x0 x31 x33x0 x31 (x4 x33 x32)False)(∀ x31 x32 . x0 x32 x31(x0 (x4 x31 x32) x31False)False)(∀ x31 x32 . x2 x31 x32(x30 x32False)(x0 x31 x32False)False)(∀ x31 x32 . x0 x32 x31(x2 x32 x31False)False)(∀ x31 x32 x33 x34 . x2 x33 (x1 x34)x2 x31 (x1 x34)x3 x33 x32x3 x32 x31(x0 x32 (x5 x34 x33 x31)False)False)(∀ x31 x32 x33 x34 . x2 x33 (x1 x34)x2 x31 (x1 x34)x0 x32 (x5 x34 x33 x31)(x3 x32 x31False)False)(∀ x31 x32 x33 x34 . x2 x33 (x1 x34)x2 x31 (x1 x34)x0 x32 (x5 x34 x33 x31)(x3 x33 x32False)False)(∀ x31 . (x3 x31 x31False)False)(∀ x31 x32 x33 . x2 x32 (x1 x33)x2 x31 (x1 x33)(x6 x33 x32 x31 = x5 x33 x32 x31False)False)(∀ x31 . (x30 x31False)(x27 (x28 x31) x31False)False)(∀ x31 . (x30 x31False)(x2 (x28 x31) (x1 x31)False)False)(∀ x31 . x27 (x26 x31) x31False)(∀ x31 . (x2 (x26 x31) (x1 x31)False)False)(x30 x25False)(∀ x31 . (x30 (x7 x31)False)False)(∀ x31 . (x2 (x7 x31) (x1 x31)False)False)(∀ x31 . (x8 (x9 x31) x31False)False)(∀ x31 . x30 (x9 x31)False)(∀ x31 . (x2 (x9 x31) (x1 (x1 x31))False)False)((x30 x24False)False)(∀ x31 . (x30 x31False)x30 (x10 x31)False)(∀ x31 . (x30 x31False)(x2 (x10 x31) (x1 x31)False)False)(∀ x31 . (x30 x31False)x30 (x11 x31)False)(∀ x31 . (x30 x31False)(x23 (x11 x31) x31False)False)(∀ x31 x32 x33 x34 x35 . x2 x34 (x1 x35)x2 x31 (x1 x35)x2 x33 (x1 x35)x32 = x33x3 x34 x33x3 x33 x31(x0 x32 (x12 x35 x34 x31)False)False)(∀ x31 x32 x33 x34 . x2 x33 (x1 x34)x2 x31 (x1 x34)x0 x32 (x12 x34 x33 x31)(x3 (x22 x31 x33 x34 x32) x31False)False)(∀ x31 x32 x33 x34 . x2 x33 (x1 x34)x2 x31 (x1 x34)x0 x32 (x12 x34 x33 x31)(x3 x33 (x22 x31 x33 x34 x32)False)False)(∀ x31 x32 x33 x34 . x2 x33 (x1 x34)x2 x31 (x1 x34)x0 x32 (x12 x34 x33 x31)(x32 = x22 x31 x33 x34 x32False)False)(∀ x31 x32 x33 x34 . x2 x33 (x1 x34)x2 x31 (x1 x34)x0 x32 (x12 x34 x33 x31)(x2 (x22 x31 x33 x34 x32) (x1 x34)False)False)((x30 x29False)False)(∀ x31 . x30 (x1 x31)False)(∀ x31 . (x2 (x21 x31) x31False)False)(∀ x31 . (x23 (x13 x31) x31False)False)((x30 x20False)False)(∀ x31 x32 . x23 x32 x31(x2 x32 (x1 (x1 x31))False)False)(∀ x31 x32 x33 . x2 x32 (x1 x33)x2 x31 (x1 x33)(x23 (x6 x33 x32 x31) x33False)False)(∀ x31 x32 x33 . x2 x32 (x1 x33)x2 x31 (x1 x33)(x2 (x5 x33 x32 x31) (x1 (x1 x33))False)False)(∀ x31 x32 x33 x34 . x2 x33 (x1 (x1 x34))x0 x31 x33x0 x32 x33(x3 (x19 x32 x31 x33 x34) x32False)(x0 (x19 x32 x31 x33 x34) x33False)(x8 x33 x34False)False)(∀ x31 x32 x33 x34 . x2 x33 (x1 (x1 x34))x0 x31 x33x0 x32 x33(x3 x31 (x19 x32 x31 x33 x34)False)(x0 (x19 x32 x31 x33 x34) x33False)(x8 x33 x34False)False)(∀ x31 x32 x33 x34 . x2 x33 (x1 (x1 x34))x0 x31 x33x0 x32 x33x0 (x19 x32 x31 x33 x34) x33x3 x31 (x19 x32 x31 x33 x34)x3 (x19 x32 x31 x33 x34) x32(x8 x33 x34False)False)(∀ x31 x32 x33 . x2 x32 (x1 (x1 x33))x8 x32 x33x3 (x14 x32 x33) x31x3 x31 (x15 x32 x33)(x0 x31 x32False)False)(∀ x31 x32 x33 . x2 x32 (x1 (x1 x33))x8 x32 x33x0 x31 x32(x3 x31 (x15 x32 x33)False)False)(∀ x31 x32 x33 . x2 x32 (x1 (x1 x33))x8 x32 x33x0 x31 x32(x3 (x14 x32 x33) x31False)False)(∀ x31 x32 . x2 x31 (x1 (x1 x32))x8 x31 x32(x0 (x15 x31 x32) x31False)False)(∀ x31 x32 . x2 x31 (x1 (x1 x32))x8 x31 x32(x0 (x14 x31 x32) x31False)False)((x29 = x20False)False)(∀ x31 x32 x33 . x2 x32 (x1 x33)x2 x31 (x1 x33)(x5 x33 x32 x31 = x12 x33 x32 x31False)False)(∀ x31 x32 . x30 x32x2 x31 (x1 x32)x27 x31 x32False)(∀ x31 x32 . (x30 x32False)x2 x31 (x1 x32)x30 x31(x27 x31 x32False)False)(∀ x31 x32 . (x30 x32False)x2 x31 (x1 x32)(x27 x31 x32False)x30 x31False)(∀ x31 x32 . x30 x32x2 x31 (x1 x32)(x30 x31False)False)(∀ x31 x32 . x0 x31 x32x0 x32 x31False)((x30 (x6 x18 x17 x16)False)x8 (x6 x18 x17 x16) x18x2 (x6 x18 x17 x16) (x1 (x1 x18))False)((x3 x17 x16False)False)((x2 x16 (x1 x18)False)False)((x2 x17 (x1 x18)False)False)(x30 x18False)False
type
prop
theory
HotG
name
-
proof
PUdpD..
Megalodon
-
proofgold address
TMKNo..
creator
35140 PrPhD../7fcf4..
owner
35141 PrPhD../2fdbe..
term root
121c5..