Drafts compilable Lean 4 theorem structures and lemma decompositions from mathematical proof sketches.
The Lean Proof Architect skill facilitates formal mathematical verification by translating high-level proof sketches into structured Lean 4 code. Unlike standard planning tools, it generates actual source code featuring 'sorry'd' declarations that are syntactically valid and ready for compilation. By decomposing complex results into independent, reusable lemmas of 30 lines or fewer, it helps users establish a sound logical framework and dependency graph before committing to the granular tactic-level implementation. It is specifically optimized for Mathlib conventions, ensuring that drafted theorems are idiomatic and maintainable.
주요 기능
01Provides a clear dependency map of how lemmas feed into the main theorem
02Generates compilable Lean 4 code with 'sorry' placeholders
03Decomposes complex theorems into manageable, independent lemmas
04Ensures adherence to Mathlib naming conventions and docstring standards
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06Verifies structural integrity using real-time Lean diagnostic feedback
사용 사례
01Validating the high-level architecture of a formalization project before proof script writing
02Scaffolding a new Lean library with reusable helper lemmas and definitions
03Structuring a formal proof for a complex theorem from a paper sketch
