Theorems · Theorem · combinatorics
Matroid.delete_closure_eq
∀ {α : Type u_1} (M : Matroid α) (D X : Set α), (M.delete D).closure X = M.closure (X \ D) \ D- Cited by
- 2 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- LE.le.transproof · cited by 3,151
- Compl.complproof · cited by 2,925
- Matroidstatement and proof · cited by 1,258
- Matroid.Eproof · cited by 550
- Set.inter_commproof · cited by 291
- Matroid.closurestatement and proof · cited by 272
- Set.sdiff_subsetproof · cited by 156
- Matroid.deletestatement · cited by 86
- Set.union_emptyproof · cited by 78
- Set.inter_assocproof · cited by 67
- Set.sdiff_eqproof · cited by 59
Cited by2
Results whose statement or proof uses this declaration.
- Matroid.delete_loops_eqproof · cited by 1
- Matroid.delete_closure_eq_of_disjointproof · cited by 0