{"id":"palomar/PALOMAR-2026-09-07-000004","url":"https://github.com/vo-rodrigues/rr-equals-nonmeager-paper/tree/a8e74a91fe0b9f3534194910172349c9926e3b3b/lean","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-09-07-000004-v1.json","repo":"https://github.com/vo-rodrigues/rr-equals-nonmeager-paper","tags":["math.LO","msc:03E17","msc:40A05","set-theory","rearrangement-number","lean-formalization"],"score":0,"title":"The rearrangement number: non(M) ≤ rr","trust":"high","domain":"math.LO","source":"palomar","authors":["Vinicius de Oliveira Rodrigues"],"reviews":0,"subject":"math.LO","summary":"A Lean formalization of the lower bound non(M) ≤ rr, where non(M) is the least cardinality of a nonmeagre subset of the usual real line and rr is the least cardinality of a family of permutations of the natural numbers that changes the sum or destroys convergence of every conditionally convergent real series. It accompanies the manuscript *Determining the Rearrangement Number* by Vinicius de Oliveira Rodrigues. The reverse inequality was already known in the literature. The reverse inequality, the full equality, and further manuscript corollaries are not formalized in this project.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-09-07","reactions":{},"formalized":true,"formalizes":[{"title":"Determining the Rearrangement Number","identifier":"","relationship":"formalizes"}]}