An AI just took a massive, 500-page math textbook that would break a human's brain and turned the whole thing into computer code in seven days.
April 6, 2026
Original Paper
Automatic Textbook Formalization
arXiv · 2604.03071
The Takeaway
This task normally takes human experts years of painstaking effort to ensure no logical errors exist. Automating this process could lead to a future where all mathematical knowledge is instantly verified and bug-free.
From the abstract
We present a case study where an automatic AI system formalizes a textbook with more than 500 pages of graduate-level algebraic combinatorics to Lean. The resulting formalization represents a new milestone in textbook formalization scale and proficiency, moving from early results in undergraduate topology and restructuring of existing library content to a full standalone formalization of a graduate textbook. The formalization comprises 130K lines of code and 5900 Lean declarations and was conduc