# Formalizing all indexed mathematics as a benchmark for general reasoning, with the example of implementing dilatations of categories

arXiv: https://arxiv.org/abs/2606.03835 · HTML: https://mlsanity.com/paper/2606.03835/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 2 Jun 2026.

## Built on by (most cited first, 1 of 1)

- [Towards a Bridge Layer Between Bibliographic and Formalized Mathematical Knowledge](https://mlsanity.com/paper/2606.11430/) (2026)

## Abstract (arXiv)

Formal rigor distinguishes mathematics from other disciplines, in the sense that mathematical statements are derived from explicit axioms by logically verifiable steps. Interactive theorem provers support this by expressing definitions, theorems, and proofs in a fully formal language and verifying them mechanically. We consider the benchmark problem of formalizing all published mathematics as a machine verifiable and continuously updated corpus of mathematical knowledge. This viewpoint treats mathematics as a structured database of interdependent results and raises questions about scalability and organization of large formal libraries. As a case study, we present an ongoing formalization in categorical algebra, namely dilatations of categories, extending classical localizations and illustrating what such an implementation looks like in practice.