Theorems · Theorem · combinatorics
Matroid.eRk_union_ground
∀ {α : Type u_1} (M : Matroid α) (X : Set α), M.eRk (X ∪ M.E) = M.eRank- Defined in
- Mathlib.Combinatorics.Matroid.Rank.ENat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
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
- ENatstatement and proof · cited by 4,985
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement and proof · cited by 550
- Set.subset_union_rightproof · cited by 123
- Matroid.eRkstatement and proof · cited by 101
- Set.inter_eq_self_of_subset_rightproof · cited by 39
- Matroid.eRankstatement and proof · cited by 36
- Matroid.eRank_defproof · cited by 12
- Matroid.eRk_inter_groundproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.eRk_ground_unionproof · cited by 0