Proofgold Proposition

∀ x0 x1 x2 . ∀ x3 x4 : ι → ι → ι . ∀ x5 : ι → ι → ο . explicit_OrderedField x0 x1 x2 x3 x4 x5 ⟶ ∀ x6 : ο . (Sep x0 (explicit_OrderedField_rationalp x0 x1 x2 x3 x4 x5) ⊆ x0 ⟶ (∀ x7 . x7 ∈ Sep x0 (explicit_OrderedField_rationalp x0 x1 x2 x3 x4 x5) ⟶ ∀ x8 : ο . (x7 ∈ x0 ⟶ ∀ x9 . x9 ∈ {x10 ∈ x0|or (or (explicit_Field_minus x0 x1 x2 x3 x4 x10 ∈ {x11 ∈ Sep x0 (natOfOrderedField_p x0 x1 x2 x3 x4 x5)|x11 = x1 ⟶ ∀ x12 : ο . x12}) (x10 = x1)) (x10 ∈ {x11 ∈ Sep x0 (natOfOrderedField_p x0 x1 x2 x3 x4 x5)|x11 = x1 ⟶ ∀ x12 : ο . x12})} ⟶ ∀ x10 . x10 ∈ {x11 ∈ Sep x0 (natOfOrderedField_p x0 x1 x2 x3 x4 x5)|x11 = x1 ⟶ ∀ x12 : ο . x12} ⟶ x4 x10 x7 = x9 ⟶ x8) ⟶ x8) ⟶ (∀ x7 . x7 ∈ x0 ⟶ ∀ x8 . x8 ∈ {x9 ∈ x0|or (or (explicit_Field_minus x0 x1 x2 x3 x4 x9 ∈ {x10 ∈ Sep x0 (natOfOrderedField_p x0 x1 x2 x3 x4 x5)|x10 = x1 ⟶ ∀ x11 : ο . x11}) (x9 = x1)) (x9 ∈ {x10 ∈ Sep x0 (natOfOrderedField_p x0 x1 x2 x3 x4 x5)|x10 = x1 ⟶ ∀ x11 : ο . x11})} ⟶ ∀ x9 . x9 ∈ {x10 ∈ Sep x0 (natOfOrderedField_p x0 x1 x2 x3 x4 x5)|x10 = x1 ⟶ ∀ x11 : ο . x11} ⟶ x4 x9 x7 = x8 ⟶ x7 ∈ Sep x0 (explicit_OrderedField_rationalp x0 x1 x2 x3 x4 x5)) ⟶ x6) ⟶ x6

type
prop

theory
HotG

name
explicit_OrderedField_Q_props

proof
PUa4W..

Megalodon
explicit_OrderedField_Q_props

proofgold address
TMds2..^{explicit_OrderedField_Q_props}

creator
5731 Pr6Pc../53aa8..

owner
5731 Pr6Pc../53aa8..

term root
469eb..