Theorems · Theorem · combinatorics
Matroid.eRk_le_eRank
∀ {α : Type u_1} (M : Matroid α) (X : Set α), M.eRk X ≤ M.eRank- Defined in
- Mathlib.Combinatorics.Matroid.Rank.ENat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- ENatstatement and proof · cited by 4,985
- Matroidstatement and proof · cited by 1,258
- Matroid.Eproof · cited by 550
- Set.inter_subset_rightproof · cited by 329
- Matroid.eRkstatement and proof · cited by 101
- Matroid.eRankstatement · cited by 36
- Matroid.eRank_defproof · cited by 12
- Matroid.eRk_inter_groundproof · cited by 12
- Matroid.eRk_monoproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.Spanning.eRk_eqproof · cited by 2