Proofgold Object

λ x0 x1 x2 . λ x3 x4 : ι → ι → ι . λ x5 : ι → ι → ο . and (and (explicit_OrderedField x0 x1 x2 x3 x4 x5) (∀ x6 . x6 ∈ x0 ⟶ ∀ x7 . x7 ∈ x0 ⟶ lt x0 x1 x2 x3 x4 x5 x1 x6 ⟶ x5 x1 x7 ⟶ ∀ x8 : ο . (∀ x9 . and (x9 ∈ Sep x0 (natOfOrderedField_p x0 x1 x2 x3 x4 x5)) (x5 x7 (x4 x9 x6)) ⟶ x8) ⟶ x8)) (∀ x6 . x6 ∈ setexp x0 (Sep x0 (natOfOrderedField_p x0 x1 x2 x3 x4 x5)) ⟶ ∀ x7 . x7 ∈ setexp x0 (Sep x0 (natOfOrderedField_p x0 x1 x2 x3 x4 x5)) ⟶ (∀ x8 . x8 ∈ Sep x0 (natOfOrderedField_p x0 x1 x2 x3 x4 x5) ⟶ and (and (x5 (ap x6 x8) (ap x7 x8)) (x5 (ap x6 x8) (ap x6 (x3 x8 x2)))) (x5 (ap x7 (x3 x8 x2)) (ap x7 x8))) ⟶ ∀ x8 : ο . (∀ x9 . and (x9 ∈ x0) (∀ x10 . x10 ∈ Sep x0 (natOfOrderedField_p x0 x1 x2 x3 x4 x5) ⟶ and (x5 (ap x6 x10) x9) (x5 x9 (ap x7 x10))) ⟶ x8) ⟶ x8)

type
ι → ι → ι → (ι → ι → ι) → (ι → ι → ι) → (ι → ι → ο) → ο

theory
HotG

name
explicit_Reals

definition
PUefP..

Megalodon
explicit_Reals

proofgold address
TMRfn..^{explicit_Reals}

creator
4913 Pr6Pc../68143..

owner
4913 Pr6Pc../68143..

term root
2c816..