Theorems · Theorem · combinatorics
Matroid.sdiff_coloops_indep_iff
∀ {α : Type u_1} {M : Matroid α} {I : Set α}, M.Indep (I \ M.coloops) ↔ M.Indep I- Defined in
- Mathlib.Combinatorics.Matroid.Loop
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Matroid.Indepstatement · cited by 367
- Set.Subset.rflproof · cited by 255
- Matroid.coloopsstatement · cited by 34
- Matroid.sdiff_indep_iff_indep_of_subset_coloopsproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Matroid.diff_coloops_indep_iffproof · cited by 0
- Matroid.ext_indep_disjoint_loops_coloopsproof · cited by 0