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Formalizing Delcourt–Postle’s refined absorption in Lean

Juan Pablo Traverso Gianini

Palomar Registrypalomar/PALOMAR-2026-10-29-000005Oct 29, 2026math.COscore 0

One assembled Lean formalization of principal refined absorption results and their consequences. The selected results include refined omni-absorbers and refiners, labelled reserve matchings, dense compatible decompositions, an additive compatible-absorber interface retaining independence of the entire old ambient vertex set, and existence of simple designs for every fixed q > r ≥ 2 and index λ ≥ 1 at all sufficiently large admissible orders. The literal global embedding conclusion of the survey is refuted separately from a proved piecewise replacement. The research-note endpoints give…

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