Theorems · Theorem · combinatorics
Matroid.cRank_le_iff
∀ {α : Type u} {M : Matroid α} {κ : Cardinal.{u}}, M.cRank ≤ κ ↔ ∀ ⦃B : Set α⦄, M.IsBase B → Cardinal.mk ↑B ≤ κ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 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
- Set.Elemstatement and proof · cited by 7,166
- LE.le.transproof · cited by 3,151
- Cardinalstatement and proof · cited by 2,598
- Matroidstatement and proof · cited by 1,258
- Cardinal.mkstatement and proof · cited by 942
- Matroid.IsBasestatement and proof · cited by 239
- ciSup_leproof · cited by 56
- Matroid.cRankstatement and proof · cited by 17
- Matroid.IsBase.cardinalMk_le_cRankproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.