Descriptive: descriptive set theory of Lω₁ω model classes #
Import this bundle for the structure space, satisfaction measurability, Borel complexity, counting dichotomy, finite carrier analysis, and the countable-model counting theorems.
It also provides a reusable, model-theory-free DST library (pure Mathlib imports), developed for the proof of Silver's theorem:
CantorAntichain: Cantor-scheme → perfect-antichain extraction (CantorScheme.exists_antichain_mapand the splitting-predicate builder);Mycielski: Mycielski's theorem for Cantor space (mycielski_cantor);KuratowskiUlam: the meager-sections direction of Kuratowski–Ulam (isMeagre_of_isMeagre_sections);GSGraph: the graphsG_S(2^ℕ)and Miller's independence lemma (exists_gSGraph_edge_of_not_isMeagre);G0Dichotomy: the KST independent-superset lemma (exists_measurableSet_relIndependent_superset) and the positivity ideals (SmallFam) with the combination lemma (not_smallFam_comb_cross);G0Fusion: the fusion recursion and limit (G0Fusion.exists_gsGraph_hom), the classicalG₀-dichotomy construction.
Note: the Silver chain (Silver-Burgess, the category route, and
Gandy-Harrington — all sorry-free) lives in InfinitaryLogic.Conditional.
CountingCountable
and MorleyCounting depend on descriptive results and are included here.