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Theorems · Theorem · combinatorics

Matroid.dual_coindep_iff

∀ {α : Type u_1} {M : Matroid α} {X : Set α}, M✶.Coindep X ↔ M.Indep X
Defined in
Mathlib.Combinatorics.Matroid.Dual
Cited by
2 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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Matroid.Indep.contract_isBase_iff · cited by 1Indep.contract_isBase_iffMatroid.Indep.coindep · cited by 0Indep.coindepSet · cited by 53352SetMatroid · cited by 1258MatroidMatroid.Indep · cited by 367Matroid.IndepMatroid.dual · cited by 79Matroid.dualMatroid.Coindep · cited by 24Matroid.CoindepMatroid.dual_dual · cited by 22Matroid.dual_dualMatroid.dual_coindep_iffCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.