Theorems · Theorem · combinatorics
Matroid.Coindep.closure_compl
∀ {α : Type u_2} {M : Matroid α} {X : Set α}, M.Coindep X → M.closure (M.E \ X) = M.E- Defined in
- Mathlib.Combinatorics.Matroid.Closure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement · cited by 550
- Matroid.closurestatement · cited by 272
- Matroid.Coindepstatement and proof · cited by 24
- Matroid.Coindep.subset_groundproof · cited by 3
- Matroid.coindep_iff_closure_compl_eq_groundproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.Coindep.delete_isBase_iffproof · cited by 2