ComputationalPathsLean

Review armada/fleet-generated Lean files for ComputationalPaths invariants, duplicate modules, shallow Path usage, and scaffold-heavy theorem stubs.

Design domain-specific Step types and rewrite certificates in ComputationalPaths modules without confusing them with core Path.Step rewrite rules.

Audit and harden scaffold-heavy ComputationalPaths Lean modules by replacing selected True/trivial/rfl placeholders with typed Path/RwEq certificate records while preserving public APIs.

Keep ComputationalPaths modules suitable as book/paper companion material with clear mathematical narrative, named constructions, and meaningful computational-path evidence.

Recover a broken Lean module with minimal safe edits by weakening non-derivable equalities while preserving declaration shape.

Run Aristotle automated theorem prover on Lean files to fill sorry placeholders. Use when you have a file with sorries that needs automated proof search. Handles API setup, axiom import checks, and result verification.

Build, test, and debug Lean 4 projects using Lake. Use when building the ComputationalPaths project, checking for errors, running tests, cleaning artifacts, or debugging Lean 4 compilation issues.

Guides adding new computational-path constructions to the ComputationalPaths library. Use when defining new spaces, π₁ calculations, encode-decode proofs, or adding new topological constructions.

Work effectively with Lean 4 quotients in ComputationalPaths (Quot.lift/Quot.ind/Quot.sound), including nested lifts and common proof obligations.

A lightweight checklist for CI, toolchain bumps, and version/release hygiene for the ComputationalPaths Lean 4 project (Lake + lean-action CI).

Use ComputationalPaths path tactics to automate common RwEq goals (path_simp/path_auto/path_normalize), and structure calc-based proofs cleanly.

Helps construct RwEq (rewrite equivalence) proofs using transitivity, congruence, and canonical lemmas from the LND_EQ-TRS system. Use when proving path equalities, working with quotients, or establishing rewrite equivalences in the ComputationalPaths library.