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Mess around with IsSemiringWithoutOne reexports #2499

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Merged
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Dec 10, 2024
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Mess around with IsSemiringWithoutOne reexports #2499

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Mess around with IsSemiringWithoutOne reexports
Taneb Nov 13, 2024
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Taneb Dec 9, 2024
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19 changes: 16 additions & 3 deletions src/Algebra/Structures.agda
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Expand Up @@ -415,15 +415,22 @@ record IsSemiringWithoutOne (+ * : Op₂ A) (0# : A) : Set (a ⊔ ℓ) where
zero : Zero 0# *

open IsCommutativeMonoid +-isCommutativeMonoid public
using (setoid)
using (setoid; isEquivalence)
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@jamesmckinna jamesmckinna Nov 16, 2024

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I'd double down on @Taneb 's suggestions, and remove the setoid export entirely. As noted in my longer meta-comment, I think it's a design error for a Structure to export a sub-Bundle... one to chalk up to my relative inexperience/lack of understanding when raising and then tackling #1917 which caused all this in the first place. hey-ho!

renaming
( comm to +-comm
( ∙-cong to +-cong
; ∙-congˡ to +-congˡ
; ∙-congʳ to +-congʳ
; assoc to +-assoc
; identity to +-identity
; identityˡ to +-identityˡ
; identityʳ to +-identityʳ
; comm to +-comm
; isMonoid to +-isMonoid
; isCommutativeMagma to +-isCommutativeMagma
; isCommutativeSemigroup to +-isCommutativeSemigroup
)

open Setoid setoid public
open IsEquivalence isEquivalence public
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@JacquesCarette JacquesCarette Nov 13, 2024

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Doesn't this removal of open Setoid setoid public change the export, i.e. Carrier is no longer visible?

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@Taneb Taneb Nov 13, 2024

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Yes, this is intentional - no other structure exposes Carrier, and doing so was causing issues when trying to use the corresponding bundle.

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@jamesmckinna jamesmckinna Nov 16, 2024 •
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[UPDATED} Indeed, no (other) Structure Only IsSuccessorSet and IsMagma export setoid, but I think, on balance, that they should not. Suggest a downstream PR to look at this more closely, unless @Taneb you want to investigate this further as part of this PR?

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@jamesmckinna jamesmckinna Nov 18, 2024

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Re: the export of setoid from IsMagma: this is used by IsGroup in this module, so can't be removed at this stage.


*-isMagma : IsMagma *
*-isMagma = record
Expand All @@ -444,6 +451,12 @@ record IsSemiringWithoutOne (+ * : Op₂ A) (0# : A) : Set (a ⊔ ℓ) where
; ∙-congʳ to *-congʳ
)

distribˡ : * DistributesOverˡ +
distribˡ = proj₁ distrib

distribʳ : * DistributesOverʳ +
distribʳ = proj₂ distrib

Comment on lines +454 to +459
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@jamesmckinna jamesmckinna Nov 27, 2024 •
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These additions make sense, but if you are going to make them, then perhaps you should re-export them downstream from eg IsRingWithoutOne via opening an isSemiringWithoutOne manifest field... etc. which might simplify those exports elsewhere, too?

zeroˡ : LeftZero 0# *
zeroˡ = proj₁ zero

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