Theorems · Theorem · combinatorics
Matroid.IsCircuit.contract_dep
∀ {α : Type u_1} {M : Matroid α} {K C : Set α}, M.IsCircuit K → Disjoint C K → (M.contract C).Dep K- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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
- Disjointstatement and proof · cited by 2,201
- Matroidstatement and proof · cited by 1,258
- Matroid.Eproof · cited by 550
- Matroid.Indepproof · cited by 367
- Set.inter_subset_leftproof · cited by 360
- Matroid.IsBasisproof · cited by 219
- Set.subset_union_leftproof · cited by 142
- Disjoint.symmproof · cited by 125
- Matroid.IsCircuitstatement and proof · cited by 108
- Matroid.contractstatement and proof · cited by 103
- Matroid.Depstatement and proof · cited by 76
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.IsCircuit.contract_dep_of_not_subsetproof · cited by 0