Matroid.indep_iff_eRk_eq_encard

∀ {α : Type u_1} {M : Matroid α} {I : Set α} [M.RankFinite], M.Indep I ↔ M.eRk I = I.encard

In a matroid known to have finite rank, Matroid.indep_iff_eRk_eq_encard_of_finite is true without the finiteness assumption.

Defined in: Mathlib.Combinatorics.Matroid.Rank.ENat
Cited by: 1 results in Mathlib
Foundations: Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Matroid.RankFinite

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