Two Quick Proofs of a Catalan Lemma Needed by Lisa Sauermann and Yuval Wigderson
英文摘要：
We present two proofs each, all shorter than the original proofs, of two elegant combinatorial identities that came up in the beautiful article arXiv:2010.00077 .
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
