Theorems · Theorem · combinatorics
Matroid.Loopless.loops_eq_empty
∀ {α : Type u_1} {M : Matroid α} [self : M.Loopless], M.loops = ∅- Defined in
- Mathlib.Combinatorics.Matroid.Loop
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- Matroid.Loopless
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.loopsstatement · cited by 52
- Matroid.Looplessstatement and proof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.loops_eq_emptyproof · cited by 2