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Theorems · Theorem · combinatorics

Matroid.isRkFinite_set

∀ {α : Type u_1} (M : Matroid α) [M.RankFinite] (X : Set α), M.IsRkFinite X
Defined in
Mathlib.Combinatorics.Matroid.Rank.Finite
Cited by
1 results in Mathlib
Foundations
Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Matroid.RankFinite
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matroid.indep_iff_eRk_eq_encard · cited by 1Matroid.indep_iff_eRk_eq_…Set · cited by 53352SetMatroid · cited by 1258MatroidMatroid.IsBasis' · cited by 101Matroid.IsBasis'Matroid.IsRkFinite · cited by 53Matroid.IsRkFiniteMatroid.RankFinite · cited by 33Matroid.RankFiniteMatroid.exists_isBasis' · cited by 30Matroid.exists_isBasis'Matroid.IsBasis'.indep · cited by 27IsBasis'.indepMatroid.IsBasis'.isRkFinite_of_finite · cited by 5IsBasis'.isRkFinite_of_fi…Matroid.Indep.finite · cited by 4Indep.finiteMatroid.isRkFinite_setCITED BYCITES

Cites9

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Cited by1

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