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Proofgold Proposition

∀ x0 : ι → ι → ο . ∀ x1 x2 : ι → ι → ι . ∀ x3 x4 x5 . ∀ x6 x7 x8 x9 : ι → ι . ∀ x10 x11 x12 x13 : ι → ι → ι . ∀ x14 x15 . ∀ x16 : ι → ο . ∀ x17 x18 : ι → ι → ι → ι . ∀ x19 . ∀ x20 : ι → ι → ι . ∀ x21 : ι → ι . ∀ x22 . ∀ x23 : ι → ο . ∀ x24 . ∀ x25 : ι → ο . ∀ x26 x27 . ∀ x28 : ι → ο . ∀ x29 : ι → ι → ο . ∀ x30 : ι → ο . (∀ x31 x32 . x30 x32(x32 = x31False)x30 x31False)(∀ x31 x32 x33 x34 . x0 x33 x34x0 x32 x31(x0 (x2 x33 x32) (x1 x34 x31)False)False)(∀ x31 x32 x33 x34 . x0 (x2 x32 x34) (x1 x31 x33)(x0 x34 x33False)False)(∀ x31 x32 x33 x34 . x0 (x2 x34 x32) (x1 x33 x31)(x0 x34 x33False)False)(∀ x31 x32 . x0 x31 x32x30 x32False)(∀ x31 . x30 x31(x31 = x3False)False)(∀ x31 x32 . x29 x31 x32(x30 x32False)(x0 x31 x32False)False)(∀ x31 x32 . x0 x32 x31(x29 x32 x31False)False)(x28 x27False)(x30 x4False)((x28 x26False)False)(x30 x26False)((x25 x24False)False)((x30 x5False)False)((x23 x22False)False)(x30 x22False)(∀ x31 . (x30 x31False)x23 x31x30 (x21 x31)False)(∀ x31 . (x30 x31False)x23 x31x30 (x6 x31)False)(∀ x31 x32 x33 x34 . (x23 (x20 (x2 x32 x31) (x2 x34 x33))False)False)(∀ x31 x32 . (x23 (x1 x31 x32)False)False)(∀ x31 . x30 x31(x30 (x21 x31)False)False)(∀ x31 x32 . (x23 (x7 (x2 x32 x31))False)False)(∀ x31 x32 . x30 x32(x30 (x1 x32 x31)False)False)(∀ x31 . x30 x31(x30 (x6 x31)False)False)(∀ x31 x32 . x30 x32(x30 (x1 x31 x32)False)False)(∀ x31 x32 . x30 (x20 x31 x32)False)(∀ x31 . (x28 (x7 x31)False)False)(∀ x31 . x30 (x7 x31)False)(∀ x31 x32 . x30 (x2 x31 x32)False)(∀ x31 x32 . (x25 (x2 x31 x32)False)False)((x30 x3False)False)(∀ x31 . x30 x31(x30 (x21 x31)False)False)(∀ x31 . x30 x31(x30 (x6 x31)False)False)(∀ x31 . (x29 (x8 x31) x31False)False)((x30 x19False)False)(∀ x31 x32 . (x2 x32 x31 = x20 (x20 x32 x31) (x7 x32)False)False)((x3 = x19False)False)(∀ x31 . (x0 (x9 x31) x31False)(x30 x31False)False)(∀ x31 x32 . x30 x32x0 x31 x32False)(∀ x31 x32 . (x0 (x2 (x11 x32 x31) (x10 x32 x31)) x31False)(x0 (x10 x32 x31) x32False)(x32 = x21 x31False)False)(∀ x31 x32 x33 . x0 (x10 x33 x32) x33x0 (x2 x31 (x10 x33 x32)) x32(x33 = x21 x32False)False)(∀ x31 x32 x33 x34 . x33 = x21 x34x0 (x2 x32 x31) x34(x0 x31 x33False)False)(∀ x31 x32 x33 . x32 = x21 x33x0 x31 x32(x0 (x2 (x18 x31 x32 x33) x31) x33False)False)(∀ x31 x32 . (x0 (x2 (x12 x32 x31) (x13 x32 x31)) x31False)(x0 (x12 x32 x31) x32False)(x32 = x6 x31False)False)(∀ x31 x32 x33 . x0 (x12 x33 x32) x33x0 (x2 (x12 x33 x32) x31) x32(x33 = x6 x32False)False)(∀ x31 x32 x33 x34 . x33 = x6 x34x0 (x2 x31 x32) x34(x0 x31 x33False)False)(∀ x31 x32 x33 . x32 = x6 x33x0 x31 x32(x0 (x2 x31 (x17 x31 x32 x33)) x33False)False)(∀ x31 x32 . (x20 x32 x31 = x20 x31 x32False)False)(∀ x31 . x30 x31x23 x31(x16 x31False)False)(∀ x31 . x30 x31x23 x31(x23 x31False)False)(∀ x31 . (x28 x31False)x30 x31False)(∀ x31 . x30 x31(x28 x31False)False)(∀ x31 . x30 x31(x23 x31False)False)(∀ x31 x32 . x0 x31 x32x0 x32 x31False)(x6 (x1 x15 x14) = x15x21 (x1 x15 x14) = x14False)(x14 = x3False)(x15 = x3False)False
type
prop
theory
HotG
name
-
proof
PUhtx..
Megalodon
-
proofgold address
TMF25..
creator
35144 PrPhD../ae5a2..
owner
35145 PrPhD../ffde7..
term root
4482f..