Theorems · Definition · combinatorics
Matroid.IsBase
{α : Type u_1} → Matroid α → Set α → PropM has a predicate Base defining its bases.
- Defined in
- Mathlib.Combinatorics.Matroid.Basic
- Cited by
- 239 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by252
Results whose statement or proof uses this declaration.
- Matroid.Indep.subset_groundproof · cited by 61
- Matroid.Indep.subsetproof · cited by 42
- Matroid.eRankproof · cited by 36
- Matroid.IsBase.subset_groundstatement and proof · cited by 30
- Matroid.IsBase.indepstatement and proof · cited by 22
- Matroid.dual_dualproof · cited by 22
- Matroid.Indep.exists_isBase_supersetstatement · cited by 18
- Matroid.cRankproof · cited by 17
- Matroid.sigmaproof · cited by 15
- Matroid.exists_isBasestatement · cited by 15
- Matroid.isBase_restrict_iffstatement · cited by 11
- Matroid.IsBase.encard_eq_eRankstatement and proof · cited by 10
Showing the 200 most cited of 252.