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Ordered rationals (#19)

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Patrick Stevens
2019-01-13 19:40:57 +00:00
committed by GitHub
parent 37a60bde17
commit 20b31da82d
3 changed files with 293 additions and 7 deletions
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1
Numbers/Integers.agda
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@@ -3,6 +3,7 @@
open import LogicalFormulae
open import Numbers.Naturals
open import Groups.Groups
open import Groups.GroupDefinition
open import Rings.RingDefinition
open import Functions
open import Orders

5
Numbers/Rationals.agda
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@@ -10,6 +10,7 @@ open import PrimeNumbers
open import Setoids.Setoids
open import Functions
open import Fields.FieldOfFractions
open import Fields.FieldOfFractionsOrder
module Numbers.Rationals where
@@ -28,5 +29,5 @@ module Numbers.Rationals where
ℚField : Field ℚRing
ℚField = fieldOfFractions ℤIntDom
ℚField : OrderedRing ℚRing (fieldOfFractionsTotalOrder ℤIntDom ℤOrderedRing)
ℚField = fieldOfFractionsOrderedRing ℤIntDom ℤOrderedRing
ℚOrdered : OrderedRing ℚRing (fieldOfFractionsTotalOrder ℤIntDom ℤOrderedRing)
ℚOrdered = fieldOfFractionsOrderedRing ℤIntDom ℤOrderedRing