Theorems · Theorem · combinatorics
Matroid.contract_ground
∀ {α : Type u_1} (M : Matroid α) (C : Set α), (M.contract C).E = M.E \ C- Cited by
- 12 results in Mathlib
- Foundations
- Depth 80 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.Estatement · cited by 550
- Matroid.contractstatement · cited by 103
Cited by12
Results whose statement or proof uses this declaration.
- Matroid.IsBasis'.contract_eq_contract_deleteproof · cited by 5
- Matroid.Indep.contract_dep_iffproof · cited by 4
- Matroid.contract_delete_commproof · cited by 3
- Matroid.IsMinor.eq_of_ground_subsetproof · cited by 2
- Matroid.IsBasis.contract_isBasis_sdiff_sdiff_of_subsetproof · cited by 2
- Matroid.contract_delete_sdiffproof · cited by 2
- Matroid.IsCircuit.contract_depproof · cited by 1
- Matroid.IsBasis'.contract_isBasis'proof · cited by 1
- Matroid.contract_spanning_iffproof · cited by 1
- Matroid.IsBasis.contract_isBasis_union_unionproof · cited by 1
- Matroid.contract_ground_subset_groundproof · cited by 0
- Matroid.contract_isNonloop_iffproof · cited by 0