Native Lean search entry. Use the shared `lean_search` surface first across local-project and Mathlib/semantic modes, with provider-aware fallbacks and result provenance.
Run a user-approved Lean swarm with clear file ownership, verifier roles, and strict zero-sorry verification.
Native diagnostics/review/doctor entry. Use structured capability, inspection, and verification state instead of ad hoc summaries.
Native formalization workflow entry. Follow the formalize/draft specs, typed Lean tools, and queue-driven verification ladder.
Native proving workflow entry. Follow the prove/formalize specs, structured Lean tools, queue state, and router decisions instead of free-form proof guessing.
Auxiliary proof-strategy help for hard Lean theorem repairs. Use when repeated focused attempts fail and another configured model or command expert should advise without editing files or changing existing statements.
Native refactor/golf routing entry. Load the linked workflow specs as the contract, preserve theorem meaning, and keep optimization inside the direct Lean tool surface.
Native single-declaration queue entry. Obey the queue handoff exactly, use the shared Lean tools, and escalate through helper decomposition or reasoning help when local attempts stall.