Theorems · Theorem · combinatorics
Matroid.coloops_subset_ground
∀ {α : Type u_1} (M : Matroid α), M.coloops ⊆ M.E- Defined in
- Mathlib.Combinatorics.Matroid.Loop
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement · cited by 550
- Matroid.coloopsstatement · cited by 34
- Matroid.IsColoop.mem_groundproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.closure_union_eq_of_subset_coloopsproof · cited by 4