Proofgold Proposition

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

type
prop

theory
HotG

name
explicit_Reals_Q_min_props

proof
PUa4W..

Megalodon
explicit_Reals_Q_min_props

proofgold address
TMU33..^{explicit_Reals_Q_min_props}

creator
5731 Pr6Pc../d6a94..

owner
5731 Pr6Pc../d6a94..

term root
31679..