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Rename order transitivity (#62)

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Patrick Stevens
2019-11-02 19:05:52 +00:00
committed by GitHub
parent 763ddb8dbb
commit 1325236359
20 changed files with 220 additions and 220 deletions
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Numbers/Integers/Order.agda
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@@ -82,7 +82,7 @@ lessThanTotalZ {negSucc a} {negSucc .a} | inr refl = inr refl
ℤOrder : TotalOrder ℤ
PartialOrder._<_ (TotalOrder.order ℤOrder) = _<Z_
PartialOrder.irreflexive (TotalOrder.order ℤOrder) {a} = irreflexive a
PartialOrder.transitive (TotalOrder.order ℤOrder) = lessZTransitive
PartialOrder.<Transitive (TotalOrder.order ℤOrder) = lessZTransitive
TotalOrder.totality ℤOrder a b = lessThanTotalZ {a} {b}
orderRespectsAddition : (a b : ℤ) → a <Z b → (c : ℤ) → a +Z c <Z b +Z c