Theorems · Theorem · combinatorics
Matroid.IsBase.eRk_eq_eRank
∀ {α : Type u_1} {M : Matroid α} {B : Set α}, M.IsBase B → M.eRk B = M.eRank- Defined in
- Mathlib.Combinatorics.Matroid.Rank.ENat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
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Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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.encardproof · cited by 327
- Matroid.IsBasestatement and proof · cited by 239
- Matroid.eRkstatement and proof · cited by 101
- Matroid.eRankstatement and proof · cited by 36
- Matroid.IsBase.indepproof · cited by 22
- Matroid.Indep.eRk_eq_encardproof · cited by 15
- Matroid.eRank_defproof · cited by 12
- Matroid.IsBasis.encard_eq_eRkproof · cited by 9
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