Mathlib Map

Theorems · Inductive type · combinatorics

Matroid.RankInfinite

{α : Type u_1} → Matroid α → Prop

An RankInfinite matroid is one whose bases are infinite.

Defined in
Mathlib.Combinatorics.Matroid.Basic
Cited by
13 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
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Around this declaration

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

Matroid.not_rankFinite_iff · cited by 3Matroid.not_rankFinite_iffMatroid.IsBase.infinite · cited by 2IsBase.infiniteMatroid.rankFinite_or_rankInfinite · cited by 2Matroid.rankFinite_or_ran…Matroid.RankInfinite.casesOn · cited by 1RankInfinite.casesOnMatroid.RankInfinite.exists_infinite_isBase · cited by 1RankInfinite.exists_infin…Matroid.toENat_cRank_eq · cited by 1Matroid.toENat_cRank_eqMatroid.rankInfinite_iff_aleph0_le_cRank · cited by 1Matroid.rankInfinite_iff_…Matroid.eRank_eq_top · cited by 1Matroid.eRank_eq_topMatroid.eRank_eq_top_iff · cited by 1Matroid.eRank_eq_top_iffMatroid.IsBase.rankInfinite_of_infinite · cited by 1IsBase.rankInfinite_of_in…Matroid.not_rankFinite · cited by 1Matroid.not_rankFiniteMatroid.not_rankInfinite · cited by 1Matroid.not_rankInfiniteMatroid.RankInfinite.recOn · cited by 0RankInfinite.recOnMatroid.rankInfinite_iff · cited by 0Matroid.rankInfinite_iffMatroid.not_rankInfinite_iff · cited by 0Matroid.not_rankInfinite_…Matroid · cited by 1258MatroidMatroid.RankInfiniteCITED BYCITES

Cites1

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Cited by15

Results whose statement or proof uses this declaration.