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Theorems · Theorem · combinatorics

Matroid.delete_isBase_iff

∀ {α : Type u_1} {M : Matroid α} {B D : Set α}, (M.delete D).IsBase B ↔ M.IsBasis B (M.E \ D)
Defined in
Mathlib.Combinatorics.Matroid.Minor.Delete
Cited by
2 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matroid.Coindep.delete_isBase_iff · cited by 2Coindep.delete_isBase_iffMatroid.Indep.contract_isBase_iff · cited by 1Indep.contract_isBase_iffSet · cited by 53352SetMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.IsBase · cited by 239Matroid.IsBaseMatroid.IsBasis · cited by 219Matroid.IsBasisMatroid.delete · cited by 86Matroid.deleteMatroid.isBase_restrict_iff · cited by 11Matroid.isBase_restrict_i…Matroid.restrict_compl · cited by 8Matroid.restrict_complMatroid.delete_isBase_iffCITED BYCITES

Cites8

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Cited by2

Results whose statement or proof uses this declaration.