sneed-and-feed/lean-theorems-1
A complete machine-checked Lean 4 formalization of Béla Bollobás's 1965 Two Families Theorem (Set Pairs Inequality) in extremal set theory. Proves the skew LYM-type inequality for pairs of disjoint subsets (A_i, B_i) satisfying cross-intersection conditions A_i ∩ B_j ≠ ∅ for i ≠ j, and deduces the uniform bound m ≤ C(a+b, a) for uniform families of sizes a and b. To the maintainers' knowledge, the theorem was not found in an exact declaration, docstring, and type signature search of the pinned Mathlib revision (Mathlib v4.34.0-rc1).
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