Theorems · Theorem · combinatorics
Matroid.Indep.ssubset_ground
∀ {α : Type u_1} {M : Matroid α} {I : Set α} [h : M✶.RankPos], M.Indep I → I ⊂ M.E- Defined in
- Mathlib.Combinatorics.Matroid.Dual
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Matroid.RankPos
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
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement · cited by 550
- Matroid.Indepstatement and proof · cited by 367
- Matroid.IsBaseproof · cited by 239
- Matroid.dualstatement and proof · cited by 79
- Matroid.RankPosstatement and proof · cited by 22
- Matroid.Indep.exists_isBase_supersetproof · cited by 18
- LE.le.trans_ssubsetproof · cited by 2
- Matroid.IsBase.ssubset_groundproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.