Theorems · Theorem · combinatorics
Matroid.delete_contract_eq_sdiff
∀ {α : Type u_1} (M : Matroid α) (D C : Set α), (M.delete D).contract C = (M.delete D).contract (C \ D)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Compl.complproof · cited by 2,925
- Matroidstatement and proof · cited by 1,258
- Matroid.Eproof · cited by 550
- Matroid.contractstatement · cited by 103
- Matroid.deletestatement · cited by 86
- Set.inter_assocproof · cited by 67
- Set.sdiff_eqproof · cited by 59
- Matroid.delete_groundproof · cited by 6
- Set.sdiff_inter_distrib_rightproof · cited by 3
- Matroid.contract_eq_contract_iffproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Matroid.contract_delete_contract'proof · cited by 2
- Matroid.delete_contract_comm'proof · cited by 1
- Matroid.delete_contract_eq_diffproof · cited by 0