bernborgess/lean-cutting-planes

The 'lean-cutting-planes' project is a niche academic or personal implementation of the Cutting Planes proof system in Lean 4. With only 2 stars and no forks over a two-year period, it lacks any market traction or community adoption. Its primary value is as a reference implementation for researchers interested in formalizing operations research techniques. Defensibility is extremely low; while the domain expertise required to write Lean code is non-trivial, the lack of a community or integration into major libraries like Mathlib means it can be easily superseded by any more comprehensive formalization effort. Frontier labs (OpenAI, Anthropic) are unlikely to compete directly as this is too specific, though they are increasingly using Lean 4 for synthetic data generation and mathematical reasoning. The primary 'competitor' is the Lean community itself; if a more robust version of this logic is added to Mathlib4, this repository will become obsolete. The displacement horizon is set at 1-2 years, reflecting the pace at which the Lean ecosystem is currently expanding.