Theorems · Theorem · combinatorics
Matroid.eRank_ne_top_iff
∀ {α : Type u_1} (M : Matroid α), M.eRank ≠ ⊤ ↔ M.RankFinite- Defined in
- Mathlib.Combinatorics.Matroid.Rank.ENat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Top.topstatement and proof · cited by 9,680
- ENatstatement and proof · cited by 4,985
- Set.Finiteproof · cited by 1,814
- Matroidstatement and proof · cited by 1,258
- Matroid.IsBaseproof · cited by 239
- Matroid.eRankstatement · cited by 36
- Matroid.RankFinitestatement and proof · cited by 33
- Matroid.exists_isBaseproof · cited by 15
- Matroid.IsBase.encard_eq_eRankproof · cited by 10
- Matroid.IsBase.finiteproof · cited by 7
- Set.encard_ne_top_iffproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.eRank_eq_top_iffproof · cited by 1