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authorGreg Brown <greg.brown@cl.cam.ac.uk>2022-03-08 18:49:39 +0000
committerGreg Brown <greg.brown@cl.cam.ac.uk>2022-03-08 18:49:39 +0000
commit69b82b0f568dd840f05f6aa9902ee6dcd5df5cad (patch)
tree11ba0964073cdb5f8de8bc1689f0e53eb21879a2 /src/Helium/Algebra/Ordered/StrictTotal
parentc32c75ab3d5628163a4ece83e38d85152bf9e189 (diff)
Migrate to agda-stdlib-2.0-dev.axiomatic
Diffstat (limited to 'src/Helium/Algebra/Ordered/StrictTotal')
-rw-r--r--src/Helium/Algebra/Ordered/StrictTotal/Structures.agda5
1 files changed, 4 insertions, 1 deletions
diff --git a/src/Helium/Algebra/Ordered/StrictTotal/Structures.agda b/src/Helium/Algebra/Ordered/StrictTotal/Structures.agda
index 6f6b38d..b9db374 100644
--- a/src/Helium/Algebra/Ordered/StrictTotal/Structures.agda
+++ b/src/Helium/Algebra/Ordered/StrictTotal/Structures.agda
@@ -161,6 +161,7 @@ record IsAbelianGroup (∙ : Op₂ A)
record IsRing (+ _*_ : Op₂ A) (-_ : Op₁ A) (0# 1# : A) : Set (a ⊔ ℓ₁ ⊔ ℓ₂) where
field
+-isAbelianGroup : IsAbelianGroup + 0# -_
+ -- FIXME: unroll definition
*-isMonoid : NoOrder.IsMonoid _*_ 1#
distrib : _*_ DistributesOver +
zero : Zero 0# _*_
@@ -224,7 +225,9 @@ record IsRing (+ _*_ : Op₂ A) (-_ : Op₁ A) (0# 1# : A) : Set (a ⊔ ℓ₁
isRing : NoOrder.IsRing + _*_ -_ 0# 1#
isRing = record
{ +-isAbelianGroup = IsAbelianGroup.Unordered.isAbelianGroup +-isAbelianGroup
- ; *-isMonoid = *-isMonoid
+ ; *-cong = *-cong
+ ; *-assoc = *-assoc
+ ; *-identity = *-identity
; distrib = distrib
; zero = zero
}