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That acknowledged, Lean utilization has generated novel mathematics. In 2019, mathematician Peter Scholze manually composed a proof for a theorem central to his developing mathematical theory. However, the proof's extreme complexity made verification challenging. Therefore, in late 2020, a mathematician team led by Johan Commelin and Adam Topaz undertook Lean formalization. Several months later, they confirmed correctness, bolstering confidence in Scholze's theory. Additionally, they discovered streamlined proofs and refined Scholze's original concepts.