What problem does it solve?
This skill helps researchers and practitioners generate rigorous mathematical proofs for ML/AI theory. It addresses the challenge of turning informal theorem sketches into formal, checkable argument structures, filling in missing steps and clarifying assumptions.
Core Features & Use Cases
- Formalization: Converts user-provided theorem statements and assumptions into a structured proof skeleton with explicit lemmas and dependencies.
- Step-by-step Drafting: Produces rigorous, justification-rich proof steps that can be reviewed or extended.
- Assumption Management: Extracts and clarifies hypotheses, notations, and boundary conditions; supports common proof strategies like direct, contrapositive, and induction.
- Use Case: A researcher requests a complete proof for a lemma in a ML theory paper, or asks to fill gaps in a proposed sketch.
Quick Start
Provide the exact theorem statement and its assumptions; the system will generate a detailed, checkable proof package ready for review.