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/AbelianGroup.agda | 2 ++
 1 file changed, 2 insertions(+)

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

diff --git a/src/Helium/Algebra/Ordered/StrictTotal/Properties/AbelianGroup.agda b/src/Helium/Algebra/Ordered/StrictTotal/Properties/AbelianGroup.agda
index 7972c4f..8ee5612 100644
--- a/src/Helium/Algebra/Ordered/StrictTotal/Properties/AbelianGroup.agda
+++ b/src/Helium/Algebra/Ordered/StrictTotal/Properties/AbelianGroup.agda
@@ -73,4 +73,6 @@ open import Helium.Algebra.Ordered.StrictTotal.Properties.Group group public
 
   ; x<y⇒ε<y∙x⁻¹ ; ε<y∙x⁻¹⇒x<y
   ; x≤y⇒ε≤y∙x⁻¹ ; ε≤y∙x⁻¹⇒x≤y
+
+  ; x<y∙z⇒x∙z⁻¹<y
   )
-- 
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