Theorems · Definition · combinatorics
Matroid.Coindep
{α : Type u_1} → Matroid α → Set α → PropA coindependent set of M is an independent set of the dual of M✶. we give it a separate
definition to enable dot notation. Which spelling is better depends on context.
- Defined in
- Mathlib.Combinatorics.Matroid.Dual
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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 and proof · cited by 53,352
- Matroidstatement and proof · cited by 1,258
- Matroid.Indepproof · cited by 367
- Matroid.dualproof · cited by 79
Cited by24
Results whose statement or proof uses this declaration.
- Matroid.coindep_iff_compl_spanningstatement · cited by 5
- Matroid.isColoop_tfaeproof · cited by 4
- Matroid.Coindep.subset_groundstatement and proof · cited by 3
- Matroid.spanning_iff_compl_coindepstatement · cited by 2
- Matroid.coindep_defstatement · cited by 2
- Matroid.coindep_iff_existsstatement · cited by 2
- Matroid.dual_coindep_iffstatement · cited by 2
- Matroid.Coindep.delete_isBase_iffstatement and proof · cited by 2
- Matroid.Coindep.indepstatement and proof · cited by 1
- Matroid.coindep_contract_iffstatement and proof · cited by 1
- Matroid.coindep_iff_closure_compl_eq_groundstatement · cited by 1
- Matroid.coindep_iff_exists'statement · cited by 1