diff options
| author | Greg Brown <greg.brown@cl.cam.ac.uk> | 2022-04-04 15:40:31 +0100 |
|---|---|---|
| committer | Greg Brown <greg.brown@cl.cam.ac.uk> | 2022-04-04 15:40:31 +0100 |
| commit | 4cd820506e0fd2a5595a11555fc2a6206757b3cd (patch) | |
| tree | 23b6b0d202e2aa7c0abfdba72a80f0980871e215 /src/Helium/Algebra/Ordered/StrictTotal/Properties/CommutativeRing.agda | |
| parent | dc2c15ebc9c494b45e8f6c8435752fcb0a66bd3a (diff) | |
Add group inverse preserves identity.
Diffstat (limited to 'src/Helium/Algebra/Ordered/StrictTotal/Properties/CommutativeRing.agda')
| -rw-r--r-- | src/Helium/Algebra/Ordered/StrictTotal/Properties/CommutativeRing.agda | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/src/Helium/Algebra/Ordered/StrictTotal/Properties/CommutativeRing.agda b/src/Helium/Algebra/Ordered/StrictTotal/Properties/CommutativeRing.agda index 1ccde6f..37996b0 100644 --- a/src/Helium/Algebra/Ordered/StrictTotal/Properties/CommutativeRing.agda +++ b/src/Helium/Algebra/Ordered/StrictTotal/Properties/CommutativeRing.agda @@ -61,8 +61,8 @@ open import Helium.Algebra.Ordered.StrictTotal.Properties.Ring ring public ; -‿anti-mono-<; -‿anti-mono-≤ ; -‿anti-cancel-<; -‿anti-cancel-≤ - ; x<0⇒-x>0; x>0⇒-x<0; x≤0⇒-x≥0; x≥0⇒-x≤0 - ; -x<0⇒x>0; -x>0⇒x<0; -x≤0⇒x≥0; -x≥0⇒x≤0 + ; x≈0⇒-x≈0 ; x<0⇒-x>0; x>0⇒-x<0; x≤0⇒-x≥0; x≥0⇒-x≤0 + ; -x≈0⇒x≈0 ; -x<0⇒x>0; -x>0⇒x<0; -x≤0⇒x≥0; -x≥0⇒x≤0 ; x<y⇒0<y-x; 0<y-x⇒x<y |