Theorems · Theorem · combinatorics
Matroid.eRank_eq_top_iff
∀ {α : Type u_1} (M : Matroid α), M.eRank = ⊤ ↔ M.RankInfinite- Defined in
- Mathlib.Combinatorics.Matroid.Rank.ENat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- ENatstatement · cited by 4,985
- Matroidstatement and proof · cited by 1,258
- Matroid.eRankstatement and proof · cited by 36
- Matroid.RankInfinitestatement · cited by 13
- Matroid.not_rankFinite_iffproof · cited by 3
- Matroid.eRank_ne_top_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.eRank_eq_topproof · cited by 1