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Theorems · Theorem · combinatorics

Matroid.coindep_iff_subset_compl_isBase

∀ {α : Type u_1} {M : Matroid α} {X : Set α}, M.Coindep X ↔ ∃ B, M.IsBase B ∧ X ⊆ M.E \ B
Defined in
Mathlib.Combinatorics.Matroid.Dual
Cited by
1 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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Matroid.Coindep.exists_subset_compl_isBase · cited by 0Coindep.exists_subset_com…Set · cited by 53352SetDisjoint · cited by 2201DisjointMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.IsBase · cited by 239Matroid.IsBaseDisjoint.symm · cited by 125Disjoint.symmMatroid.IsBase.subset_ground · cited by 30IsBase.subset_groundMatroid.Coindep · cited by 24Matroid.CoindepMatroid.coindep_iff_subset_co…CITED BYCITES

Cites8

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Cited by1

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