Theorems · Theorem · combinatorics
Matroid.contract_eq_contract_iff
∀ {α : Type u_1} {M : Matroid α} {C₁ C₂ : Set α}, M.contract C₁ = M.contract C₂ ↔ C₁ ∩ M.E = C₂ ∩ M.E- Cited by
- 2 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.
Cites10
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.dual_injproof · cited by 8
- Matroid.delete_eq_delete_iffproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Matroid.delete_contract_eq_sdiffproof · cited by 3
- Matroid.contract_delete_commproof · cited by 3