Theorems · Theorem · combinatorics
Matroid.eRank_add_eRank_dual
∀ {α : Type u_1} (M : Matroid α), M.eRank + M✶.eRank = M.E.encard- Defined in
- Mathlib.Combinatorics.Matroid.Rank.ENat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- ENatstatement and proof · cited by 4,985
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement and proof · cited by 550
- Set.encardstatement and proof · cited by 327
- Matroid.IsBaseproof · cited by 239
- Matroid.dualstatement and proof · cited by 79
- Matroid.eRankstatement and proof · cited by 36
- Matroid.IsBase.subset_groundproof · cited by 30
- Set.disjoint_sdiff_rightproof · cited by 23
- Set.union_sdiff_cancelproof · cited by 16
- Set.encard_union_eqproof · cited by 15
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