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Split out Integers and remove use of K (#39)

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Patrick Stevens
2019-08-22 08:37:41 +01:00
committed by GitHub
parent 26f20b2025
commit 9c14e7c439
15 changed files with 462 additions and 1583 deletions
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17
Numbers/Integers/Integers.agda Normal file
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{-# OPTIONS --safe --warning=error --without-K #-}
open import Numbers.Integers.Definition
open import Numbers.Integers.Addition
open import Numbers.Integers.Multiplication
open import Numbers.Integers.Order
open import Groups.Definition
module Numbers.Integers.Integers where
open Numbers.Integers.Definition using (ℤ ; nonneg ; negSucc) public
open Numbers.Integers.Addition using (_+Z_ ; ℤGroup ; ℤAbGrp) public
open Numbers.Integers.Multiplication using (_*Z_ ; ℤIntDom ; ℤRing) public
open Numbers.Integers.Order using (_<Z_ ; ℤOrderedRing) public
_-Z_ : ℤ → ℤ → ℤ
a -Z b = a +Z (Group.inverse ℤGroup b)