Theorems · Theorem · combinatorics
Matroid.contract_contract
∀ {α : Type u_1} (M : Matroid α) (C₁ C₂ : Set α), (M.contract C₁).contract C₂ = M.contract (C₁ ∪ C₂)- Cited by
- 5 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.
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 and proof · cited by 103
- Matroid.deleteproof · cited by 86
- Matroid.dualproof · cited by 79
- Matroid.dual_contractproof · cited by 9
- Matroid.delete_deleteproof · cited by 8
Cited by5
Results whose statement or proof uses this declaration.
- Matroid.contract_delete_contract'proof · cited by 2
- Matroid.contract_contract_eq_contract_sdiffproof · cited by 1
- Matroid.contract_closure_eqproof · cited by 1
- Matroid.contract_commproof · cited by 0
- Matroid.IsCircuit.contract_dep_of_not_subsetproof · cited by 0