proof-writer

Writing rigorous ML proofs involves normalizing exact theorem statements with explicit assumptions, proposing strategies, and filling missing steps to generate a formal Proof Package ready for peer review. This process converts informal intuition into verifiable logical arguments.

A formal Proof Package is a structured output for theoretical claims that includes an exact claim, explicit assumptions, defined notation, a dependency map, a structured proof, and a verifiable status to ensure logical correctness for manuscripts or notes.

Yes, you can formalize incomplete proof sketches for lemmas, propositions, or corollaries by providing the exact theorem statement and assumptions. The system fills in missing steps and generates a fully formal argument ranging from a draft to a complete proof.

To verify theorem arguments in a manuscript, normalize the theorem statement with explicit assumptions and request a complete proof draft. The resulting structured proof and verifiable status highlight missing steps and ensure logical correctness for peer review.

Yes, explicit assumptions are required to draft formal ML proofs. Providing the exact theorem statement alongside these assumptions and any user-provided sketch is necessary to generate a complete and rigorous Proof Package following the Proof Write workflow.

The best way to complete missing steps in a formalization proof is to supply the exact claim, explicit assumptions, and any draft notes. The system then proposes proof strategies and fills the gaps to produce a structured, checkable proof.