leanprover-community / leanprover-community/mathlib4

Add definition for `arcLength` and `pathEMetric` on a `PseudoEMetricSpace`

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Description

Port from mathlib3#18375. It is also possible to define 'length' using Hausdorff measure, zulipchat.

  • #31766

Contributor guide

Open the contributing guide

First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

Start by reviewing mathlib3#18375 and the existing PseudoEMetricSpace definitions in mathlib4. Port the requested arcLength and pathEMetric definitions, then confirm the changes compile and address the checklist item in #31766.

Written by the indexing model from the issue text.

Assessment

Domain
tooling
Issue type
Feature
Difficulty
3/5
Estimated time
1-2 days
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
45/100

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