Theorems · Theorem · combinatorics
Matroid.Coindep.exists_subset_compl_isBase
∀ {α : Type u_1} {M : Matroid α} {X : Set α}, M.Coindep X → ∃ B, M.IsBase B ∧ X ⊆ M.E \ B- Defined in
- Mathlib.Combinatorics.Matroid.Dual
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement · cited by 550
- Matroid.IsBasestatement · cited by 239
- Matroid.Coindepstatement and proof · cited by 24
- Matroid.coindep_iff_subset_compl_isBaseproof · cited by 1
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