Theorems · Theorem · combinatorics
Matroid.dual_contract_delete
∀ {α : Type u_1} (M : Matroid α) (X Y : Set α), ((M.contract X).delete Y)✶ = (M✶.delete X).contract Y- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 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.
- Setstatement and proof · cited by 53,352
- Matroidstatement and proof · cited by 1,258
- Matroid.contractstatement and proof · cited by 103
- Matroid.deletestatement and proof · cited by 86
- Matroid.dualstatement and proof · cited by 79
- Matroid.dual_contractproof · cited by 9
- Matroid.dual_deleteproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.IsBasis.contract_eq_contract_deleteproof · cited by 3