Theorems · Theorem · combinatorics
Matroid.removeLoops_isRestriction
∀ {α : Type u_1} (M : Matroid α), M.removeLoops.IsRestriction M- Defined in
- Mathlib.Combinatorics.Matroid.Loop
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Set.ofPredproof · cited by 6,101
- Matroidstatement and proof · cited by 1,258
- Matroid.IsNonloopproof · cited by 65
- Matroid.IsRestrictionstatement · cited by 45
- Matroid.removeLoopsstatement · cited by 17
- Matroid.IsNonloop.mem_groundproof · cited by 6
- Matroid.restrict_isRestrictionproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.removeLoops_mono_isRestrictionproof · cited by 0