Theorems · Theorem · combinatorics
Matroid.dual_contract
∀ {α : Type u_1} (M : Matroid α) (X : Set α), (M.contract X)✶ = M✶.delete X- Cited by
- 9 results in Mathlib
- Foundations
- Depth 81 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 · cited by 103
- Matroid.deletestatement and proof · cited by 86
- Matroid.dualstatement and proof · cited by 79
- Matroid.dual_dualproof · cited by 22
- Matroid.dual_delete_dualproof · cited by 9
Cited by9
Results whose statement or proof uses this declaration.
- Matroid.contract_contractproof · cited by 5
- Matroid.IsBasis.contract_eq_contract_deleteproof · cited by 3
- Matroid.coindep_contract_iffproof · cited by 1
- Matroid.dual_contract_deleteproof · cited by 1
- Matroid.contract_eq_delete_of_subset_coloopsproof · cited by 0
- Matroid.dual_delete_contractproof · cited by 0
- Matroid.contract_isCocircuit_iffproof · cited by 0
- Matroid.IsCocircuit.of_contractproof · cited by 0
- Matroid.dual_contract_dualproof · cited by 0