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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.

Modify mesh density at any time — your design updates immediately. Reduced complexity maintains responsiveness for intricate models.

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吴鹏,资深编辑,曾在多家知名媒体任职,擅长将复杂话题通俗化表达。

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