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------------------------------------------------------------------------
-- The Agda standard library
--
-- Rational Literals
------------------------------------------------------------------------
module Data.Rational.Literals where
open import Agda.Builtin.FromNat
open import Agda.Builtin.FromNeg
open import Data.Unit
open import Data.Nat
open import Data.Nat.Coprimality
open import Data.Integer
open import Data.Rational
open import Relation.Nullary.Decidable
fromℤ : ℤ → ℚ
fromℤ z = record
{ numerator = z
; denominator-1 = zero
; isCoprime = fromWitness (λ {i} → sym (1-coprimeTo ∣ z ∣))
}
number : Number ℚ
number = record
{ Constraint = λ _ → ⊤
; fromNat = λ n → fromℤ (+ n)
}
negative : Negative ℚ
negative = record
{ Constraint = λ _ → ⊤
; fromNeg = λ n → fromℤ (- (+ n))
}
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