Theorems · Theorem · combinatorics
Matroid.existsMaximalSubsetProperty_indep
∀ {α : Type u_1} (M : Matroid α), ∀ X ⊆ M.E, Matroid.ExistsMaximalSubsetProperty M.Indep XMatroids obey the maximality axiom
- Defined in
- Mathlib.Combinatorics.Matroid.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement · cited by 550
- Matroid.Indepstatement · cited by 367
- Matroid.ExistsMaximalSubsetPropertystatement · cited by 13
- Matroid.maximalityproof · cited by 2
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