Theorems · Theorem · combinatorics
Matroid.removeLoops_eq_self
∀ {α : Type u_1} (M : Matroid α) [M.Loopless], M.removeLoops = M- Defined in
- Mathlib.Combinatorics.Matroid.Loop
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Matroid.Loopless
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.
- Setproof · cited by 53,352
- Matroidstatement and proof · cited by 1,258
- Matroid.restrictproof · cited by 111
- Matroid.removeLoopsstatement · cited by 17
- Matroid.Looplessstatement and proof · cited by 16
- Matroid.restrict_ground_eq_selfproof · cited by 10
- Matroid.Loopless.ground_eqproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Matroid.removeLoops_eq_self_iffproof · cited by 0
- Matroid.removeLoops_idemproof · cited by 0