Theorems · Theorem · combinatorics
Matroid.eRank_def
∀ {α : Type u_1} (M : Matroid α), M.eRank = M.eRk M.E- Defined in
- Mathlib.Combinatorics.Matroid.Rank.ENat
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENatstatement and proof · cited by 4,985
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement and proof · cited by 550
- Matroid.eRkstatement · cited by 101
- Matroid.eRankstatement and proof · cited by 36
- Matroid.restrict_ground_eq_selfproof · cited by 10
Cited by12
Results whose statement or proof uses this declaration.
- Matroid.eRank_loopyOnproof · cited by 2
- Matroid.eRk_le_eRankproof · cited by 1
- Matroid.eRk_groundproof · cited by 1
- Matroid.eRk_union_groundproof · cited by 1
- Matroid.eRk_univ_eqproof · cited by 0
- Matroid.eRk_eq_eRankproof · cited by 0
- Matroid.IsBase.eRk_eq_eRankproof · cited by 0
- Matroid.Spanning.eRank_restrictproof · cited by 0
- Matroid.eRank_freeOnproof · cited by 0
- Matroid.eRank_le_encard_add_eRk_complproof · cited by 0
- Matroid.eRank_le_encard_groundproof · cited by 0
- Matroid.Indep.encard_le_eRankproof · cited by 0