From 7de7db24ba5bb2cfe9fae6f070e60db3510fcc69 Mon Sep 17 00:00:00 2001
From: Greg Brown <greg.brown@cl.cam.ac.uk>
Date: Tue, 5 Apr 2022 12:43:53 +0100
Subject: Add a useful transport proof.

---
 src/Helium/Algebra/Ordered/StrictTotal/Properties/DivisionRing.agda | 2 ++
 1 file changed, 2 insertions(+)

(limited to 'src/Helium/Algebra/Ordered/StrictTotal/Properties/DivisionRing.agda')

diff --git a/src/Helium/Algebra/Ordered/StrictTotal/Properties/DivisionRing.agda b/src/Helium/Algebra/Ordered/StrictTotal/Properties/DivisionRing.agda
index bfd38b7..4582320 100644
--- a/src/Helium/Algebra/Ordered/StrictTotal/Properties/DivisionRing.agda
+++ b/src/Helium/Algebra/Ordered/StrictTotal/Properties/DivisionRing.agda
@@ -80,6 +80,8 @@ open import Helium.Algebra.Ordered.StrictTotal.Properties.Ring ring public
   ; x<y⇒0<y-x; 0<y-x⇒x<y
   ; x≤y⇒0≤y-x; 0≤y-x⇒x≤y
 
+  ; x<y+z⇒x-z<y
+
   ; 0≤1; 1≈0⇒x≈y; x≉y⇒0<1; x<y⇒0<1
 
   ; x>0⇒*-monoˡ-<; x>0⇒*-monoʳ-<; x<0⇒*-anti-monoˡ-<; x<0⇒*-anti-monoʳ-<
-- 
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