benbrastmckie

Create scoped git commits for task operations. Invoke after task status changes or artifact creation.

Implement Lean 4 proofs using hard-mode behavioral contracts with per-phase dispatch and sorry inventory tracking. Invoke for Lean-language implementation tasks when hard-mode is requested.

Implement Lean 4 proofs and definitions using lean-lsp tools. Invoke for Lean-language implementation tasks.

Research Lean 4 and Mathlib for theorem proving tasks with hard-mode behavioral contracts. Invoke for Lean-language research using LeanSearch, Loogle, and lean-lsp tools when hard-mode is requested.

Research Lean 4 and Mathlib for theorem proving tasks. Invoke for Lean-language research using LeanSearch, Loogle, and lean-lsp tools.

Run Lean build with automatic error repair for missing cases, unused variables, and unused imports

Autonomous state machine that drives a task through its full lifecycle (research -> plan -> implement -> complete) without user confirmation between phases. Invoke for /orchestrate command.

Manage Lean toolchain and Mathlib versions with backup, upgrade, and rollback support

Research skill for formal methods and logic verification

Implementation skill for Lean 4 proofs and definitions

Research skill for Lean 4 theorem prover and Mathlib

Research mathematical logic tasks using domain context and codebase exploration. Invoke for logic-language research involving modal logic, Kripke semantics, and related mathematical foundations.

Research mathematical tasks using domain context and codebase exploration. Invoke for math-language research involving algebra, lattice theory, order theory, topology, and category theory.

Implement Nix configuration changes from plans. Invoke for nix implementation tasks.

Conduct Nix/NixOS/Home Manager research using MCP-NixOS, web docs, and codebase exploration. Invoke for nix research tasks.

Research physics formalization tasks using domain context and codebase exploration. Invoke for physics-language research involving dynamical systems, chaos theory, and related formalization.