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Theorems · Theorem · combinatorics

Matroid.IsBase.rankFinite_of_finite

∀ {α : Type u_1} {M : Matroid α} {B : Set α}, M.IsBase B → B.Finite → M.RankFinite
Defined in
Mathlib.Combinatorics.Matroid.Basic
Cited by
3 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
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Around this declaration

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Matroid.rankFinite_or_rankInfinite · cited by 2Matroid.rankFinite_or_ran…Matroid.eRank_ne_top_iff · cited by 1Matroid.eRank_ne_top_iffMatroid.Spanning.isBase_of_le_cRank_of_finite · cited by 1Spanning.isBase_of_le_cRa…Set · cited by 53352SetSet.Finite · cited by 1814Set.FiniteMatroid · cited by 1258MatroidMatroid.IsBase · cited by 239Matroid.IsBaseMatroid.RankFinite · cited by 33Matroid.RankFiniteIsBase.rankFinite_of_finiteCITED BYCITES

Cites5

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Cited by3

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