leanprover-community / leanprover-community/mathlib4

Create `BilinearMap` abbreviation

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Description

In a recent PR #10238 it was suggested that mathlib should have a namespace for bilinear maps and add an abbrev BilinearMap := M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P in order to support dot-notation.

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 reading the suggested change in PR #10238 and locate the existing definitions for the relevant semilinear maps in mathlib. Add the bilinear-map namespace and abbreviation described in this issue, then verify that the resulting API supports the intended dot notation.

Written by the indexing model from the issue text.

Assessment

Domain
api
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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