[Merged by Bors] - chore: refactor of concrete categories #3900
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I strongly agree that it is much better that coercion of morphisms to functions does not make the |
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Thanks 🎉 bors merge |
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I think the ports * #2902 (MonCat) * #3036 (GroupCat) * #3260 (ModuleCat) didn't quite get things right, and also have some variation between them. This PR tries to straighten things out. Major changes: * Have the coercion to type be via `X.\a`, and put attribute `@[coe]` on this. * Make sure the coercion from morphisms to functions means that simp lemmas about the underlying bundled morphisms apply directly. * This means we drop lemmas like ``` lemma Hom.map_mul {X Y : MonCat} (f : X ⟶ Y) (x y : X) : ((forget MonCat).map f) (x * y) = f x * f y ``` * But at the expense of adding lemmas like ``` lemma coe_comp {X Y Z : MonCat} {f : X ⟶ Y} {g : Y ⟶ Z} : (f ≫ g : X → Z) = g ∘ f := rfl ``` Overall I'm pretty happy, and it allows me to unstick the long stuck #3105. This is not everything I want to do to refactor these files, but once I was satisfied that I can move forward with RingCat, I want to get this merged so we can unblock porting progress. I'll promise to come back to this soon! :-) Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>
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Or at least I think that is why
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This is a replacement for #3105 which makes use of the refactors proposed in #3900. I'm happy to just merge this into #3105 if that's preferred, but since it depends on a refactor I thought I'd keep it separate for now. - [x] depends on: #3900 [](https://gitpod.io/from-referrer/) Co-authored-by: Adam Topaz <adamtopaz@users.noreply.github.com> Co-authored-by: adamtopaz <github@adamtopaz.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Johan Commelin <johan@commelin.net>
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I think the ports
didn't quite get things right, and also have some variation between them. This PR tries to straighten things out.
Major changes:
X.\a, and put attribute@[coe]on this.Overall I'm pretty happy, and it allows me to unstick the long stuck #3105.
This is not everything I want to do to refactor these files, but once I was satisfied that I can move forward with RingCat, I want to get this merged so we can unblock porting progress. I'll promise to come back to this soon! :-)