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Theorems · Theorem · combinatorics

Matroid.restrict_eq_freeOn_iff

∀ {α : Type u_1} {M : Matroid α} {I : Set α}, M.restrict I = Matroid.freeOn I ↔ M.Indep I
Defined in
Mathlib.Combinatorics.Matroid.Constructions
Cited by
1 results in Mathlib
Foundations
Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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Matroid.Indep.restrict_eq_freeOn · cited by 0Indep.restrict_eq_freeOnSet · cited by 53352SetMatroid · cited by 1258MatroidMatroid.Indep · cited by 367Matroid.IndepSet.Subset.rfl · cited by 255Subset.rflMatroid.restrict · cited by 111Matroid.restrictMatroid.freeOn · cited by 25Matroid.freeOnMatroid.restrict_ground_eq · cited by 15Matroid.restrict_ground_eqMatroid.restrict_indep_iff · cited by 13Matroid.restrict_indep_iffMatroid.eq_freeOn_iff · cited by 1Matroid.eq_freeOn_iffMatroid.restrict_eq_freeOn_iffCITED BYCITES

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Cited by1

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