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Theorems · Theorem · combinatorics

Matroid.indep_iff_not_dep

∀ {α : Type u_1} {M : Matroid α} {I : Set α}, M.Indep I ↔ ¬M.Dep I ∧ I ⊆ M.E
Defined in
Mathlib.Combinatorics.Matroid.Basic
Cited by
1 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
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Matroid.finitary_iff_forall_isCircuit_finite · cited by 0Matroid.finitary_iff_fora…Set · cited by 53352SetMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.Indep · cited by 367Matroid.IndepMatroid.Dep · cited by 76Matroid.Depnot_imp_not · cited by 63not_imp_notMatroid.Indep.subset_ground · cited by 61Indep.subset_groundMatroid.dep_iff · cited by 9Matroid.dep_iffMatroid.indep_iff_not_depCITED BYCITES

Cites8

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Cited by1

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