Theorems · Theorem · combinatorics
Matroid.IsBasis.Finite
∀ {α : Type u_1} {M : Matroid α} {I X : Set α}, M.IsBasis I X → ∀ [M.RankFinite], I.Finite- Defined in
- Mathlib.Combinatorics.Matroid.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Matroid.RankFinite
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Cites7
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
- Set.Finitestatement · cited by 1,814
- Matroidstatement and proof · cited by 1,258
- Matroid.IsBasisstatement and proof · cited by 219
- Matroid.IsBasis.indepproof · cited by 51
- Matroid.RankFinitestatement and proof · cited by 33
- Matroid.Indep.finiteproof · cited by 4
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