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Theorems · Theorem · combinatorics

Matroid.eq_freeOn_iff

∀ {α : Type u_1} {M : Matroid α} {E : Set α}, M = Matroid.freeOn E ↔ M.E = E ∧ M.Indep E
Defined in
Mathlib.Combinatorics.Matroid.Constructions
Cited by
1 results in Mathlib
Foundations
Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
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Matroid.restrict_eq_freeOn_iff · cited by 1Matroid.restrict_eq_freeO…Set · cited by 53352SetMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.Indep · cited by 367Matroid.IndepMatroid.Indep.subset · cited by 42Indep.subsetMatroid.freeOn · cited by 25Matroid.freeOnMatroid.eq_freeOn_iffCITED BYCITES

Cites6

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Cited by1

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