Theorems · Theorem · combinatorics
Matroid.isFlat_closure
∀ {α : Type u_2} {M : Matroid α} (X : Set α), M.IsFlat (M.closure X)- Defined in
- Mathlib.Combinatorics.Matroid.Closure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 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
- Set.Elemproof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- Matroidstatement and proof · cited by 1,258
- Matroid.Eproof · cited by 550
- Matroid.closurestatement · cited by 272
- Matroid.IsFlatstatement and proof · cited by 27
- Set.sInter_eq_iInterproof · cited by 8
- Matroid.IsFlat.iInterproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.isFlat_iff_closure_eqproof · cited by 1