rocq-community / rocq-community/math-classes
RingOrder for types with decidable equality
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- Rocq Prover
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Description
I'm interested in working with ordered rings with decidable equality (in particular, I would like to show that the field of fractions of an ordered ring is also ordered in the natural way, and that an ordered commutative ring is an integral domain).
As noted in the comments of interfaces/orders.v, the deeply nested class hierarchy for orders is difficult to work with. The comment says "we will, later on, provide means to go back and forth between the usual classical notions and these constructive notions." but I can't tell whether this connection has been done or how to use it if it has.
Apologies if this is an inappropriate place to ask.
Contributor guide
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First steps
- Read the whole issue, then the project's contributing guide.
- Comment on the issue to say you are picking it up — it saves two people doing the same work.
- Fork the repository and make your change on a branch.
- Open a pull request that references the issue number.
Research direction
Start by reading the comments in interfaces/orders.v, especially the note about connecting classical and constructive order notions. Determine whether the requested RingOrder support for types with decidable equality already exists; done would be a documented or implemented connection that supports the ordered-ring use cases described in the issue.
Written by the indexing model from the issue text.
Assessment
- Domain
- tooling
- Issue type
- Feature
- Difficulty
- 5/5
- Estimated time
- Over a week
- Activity status
- Stale
- Clarity
- Needs clarification
- Newbie friendliness
- 25/100