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sneed-and-feed/lean-theorems-1

Sneed & Feed Formalization Team

Palomar Registrypalomar/PALOMAR-2026-08-27-000014Aug 27, 2026math.COscore 0

A machine-checked Lean 4 formalization of the general n-dimensional combinatorial Sperner parity theorem on abstract n-dimensional pseudomanifolds with boundary for arbitrary dimension n : ℕ. Proves the local door-counting parity invariant on (n+1)-simplices, the global double-counting identity on door-facet incidences, and the master parity congruence modulo 2 relating panchromatic (n+1)-simplices to boundary doors. The theorem is conditional on an odd number of boundary (n-1)-doors; obtaining the classical geometric Sperner lemma for simplicial subdivisions of geometric simplices with…

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