Theorems · Theorem · combinatorics
Matroid.contract_inter_ground_eq
∀ {α : Type u_1} (M : Matroid α) (C : Set α), M.contract (C ∩ M.E) = M.contract C- Cited by
- 7 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.
Cites9
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.Estatement and proof · cited by 550
- Matroid.contractstatement and proof · cited by 103
- Matroid.deleteproof · cited by 86
- Matroid.dualproof · cited by 79
- Matroid.dual_delete_dualproof · cited by 9
- Matroid.dual_groundproof · cited by 9
- Matroid.delete_inter_ground_eqproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- Matroid.IsBasis'.contract_eq_contract_deleteproof · cited by 5
- Matroid.contract_delete_commproof · cited by 3
- Matroid.IsMinor.eq_of_ground_subsetproof · cited by 2
- Matroid.contract_spanning_iff'proof · cited by 1
- Matroid.IsCircuit.contract_depproof · cited by 1
- Matroid.IsMinor.exists_eq_contract_delete_disjointproof · cited by 0
- Matroid.contract_closure_eq_contract_deleteproof · cited by 0