Theorems · Theorem · combinatorics
Matroid.IsFlat.closure
∀ {α : Type u_2} {M : Matroid α} {F : Set α}, M.IsFlat F → M.closure F = F- Defined in
- Mathlib.Combinatorics.Matroid.Closure
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- LE.le.antisymmproof · cited by 507
- Matroid.closurestatement · cited by 272
- Set.sInter_subset_of_memproof · cited by 28
- Matroid.IsFlatstatement and proof · cited by 27
- Matroid.subset_closureproof · cited by 23
- Matroid.IsFlat.subset_groundproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- Matroid.closure_closureproof · cited by 14
- Matroid.isFlat_iff_closure_eqproof · cited by 1
- Matroid.IsLoop.mem_of_isFlatproof · cited by 1