Theorems · Theorem · combinatorics
Matroid.delete_eq_self_iff
∀ {α : Type u_1} {M : Matroid α} {D : Set α}, M.delete D = M ↔ Disjoint D M.E- Cited by
- 4 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Disjointstatement and proof · cited by 2,201
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement and proof · cited by 550
- Matroid.deletestatement · cited by 86
- disjoint_commproof · cited by 49
- sdiff_eq_leftproof · cited by 15
- Matroid.restrict_complproof · cited by 8
- Matroid.restrict_eq_self_iffproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Matroid.delete_emptyproof · cited by 3
- Matroid.IsRestriction.restrict_delete_of_disjointproof · cited by 1
- Matroid.delete_eq_selfproof · cited by 0
- Matroid.contract_eq_self_iffproof · cited by 0