Theorems · Theorem · combinatorics
Matroid.IsBasis.left_subset_ground
∀ {α : Type u_1} {M : Matroid α} {I X : Set α}, M.IsBasis I X → I ⊆ M.E- Defined in
- Mathlib.Combinatorics.Matroid.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 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.
- Setstatement and proof · cited by 53,352
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement · cited by 550
- Matroid.IsBasisstatement and proof · cited by 219
- Matroid.Indep.subset_groundproof · cited by 61
- Matroid.IsBasis.indepproof · cited by 51
Cited by2
Results whose statement or proof uses this declaration.
- Matroid.IsBasis.spanning_iff_spanningproof · cited by 2
- Matroid.IsBasis.sdiff_subset_loops_contractproof · cited by 1