research

name	research
description	Find whether a theorem/concept exists in Mathlib and locate building blocks for a new theorem.

Research Mode

Find whether a theorem/concept exists in Mathlib, and locate the building blocks needed for a new theorem.

Research topic: $ARGUMENTS

Procedure

1. Use lean_leansearch, lean_loogle, lean_leanfinder to search for the concept.
2. Use lean_local_search to check what already exists in this project.
3. For each relevant result, use lean_hover_info and/or lean_declaration_file to get the full signature and source location.
4. Always cite results with file_path:line_number format so they are alt+clickable in VSCode.
5. Summarize findings: what exists, what's missing, and what building blocks are available.

Output

A structured summary with clickable references. No code edits in this mode.