leanprover-community / leanprover-community/mathlib4

Typeclass search doesn't find `Fintype` for SetLike gadgets

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Description

#2279 needed the following instance

-- Porting note: TODO the following instance should follow from a more general principle
@[to_additive]
noncomputable instance [Fintype G] : Fintype (Submonoid.powers x) :=
  inferInstanceAs $ Fintype {y // y ∈ Submonoid.powers x}

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First steps

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  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

Start with the instance added for #2279 and the Fintype (Submonoid.powers x) entry point shown in the issue. Investigate why typeclass search does not derive this through the SetLike subtype and determine the general principle intended by the porting note. Done means the specific workaround is no longer needed and the instance is found correctly.

Written by the indexing model from the issue text.

Assessment

Domain
compilers
Issue type
Bug
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
25/100

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