diff options
author | Greg Brown <greg.brown@cl.cam.ac.uk> | 2022-03-08 18:49:39 +0000 |
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committer | Greg Brown <greg.brown@cl.cam.ac.uk> | 2022-03-08 18:49:39 +0000 |
commit | 69b82b0f568dd840f05f6aa9902ee6dcd5df5cad (patch) | |
tree | 11ba0964073cdb5f8de8bc1689f0e53eb21879a2 /src/Helium/Algebra/Ordered/StrictTotal/Structures.agda | |
parent | c32c75ab3d5628163a4ece83e38d85152bf9e189 (diff) |
Migrate to agda-stdlib-2.0-dev.axiomatic
Diffstat (limited to 'src/Helium/Algebra/Ordered/StrictTotal/Structures.agda')
-rw-r--r-- | src/Helium/Algebra/Ordered/StrictTotal/Structures.agda | 5 |
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 } |