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Theorems · Definition · combinatorics

IndepMatroid.matroid

{α : Type u_1} → IndepMatroid α → Matroid α

An M : IndepMatroid α gives a Matroid α whose bases are the maximal M-independent sets.

Defined in
Mathlib.Combinatorics.Matroid.IndepAxioms
Cited by
4 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
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Matroid.restrict · cited by 111Matroid.restrictMatroid.dual · cited by 79Matroid.dualMatroid.comap · cited by 24Matroid.comapAlgebraicIndependent.matroid · cited by 17AlgebraicIndependent.matr…Matroid.ofExistsMatroid · cited by 1Matroid.ofExistsMatroidIndepMatroid.matroid_E · cited by 0IndepMatroid.matroid_EIndepMatroid.matroid_Indep · cited by 0IndepMatroid.matroid_IndepIndepMatroid.matroid_IsBase · cited by 0IndepMatroid.matroid_IsBa…IndepMatroid.matroid_indep_iff · cited by 0IndepMatroid.matroid_inde…Set · cited by 53352SetMatroid · cited by 1258MatroidMaximal · cited by 211MaximalIndepMatroid.Indep · cited by 17IndepMatroid.IndepIndepMatroid · cited by 15IndepMatroidIndepMatroid.E · cited by 11IndepMatroid.EIndepMatroid.indep_maximal · cited by 0IndepMatroid.indep_maximalIndepMatroid.matroidCITED BYCITES

Cites7

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Cited by9

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