Theorems · Theorem · combinatorics
Matroid.restrict_restrict_eq
∀ {α : Type u_1} {R₁ R₂ : Set α} (M : Matroid α), R₂ ⊆ R₁ → (M.restrict R₁).restrict R₂ = M.restrict R₂- Cited by
- 6 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.
Cites6
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
- LE.le.transproof · cited by 3,151
- Matroidstatement and proof · cited by 1,258
- Matroid.Indepproof · cited by 367
- Matroid.restrictstatement · cited by 111
- Matroid.ext_indepproof · cited by 15
Cited by6
Results whose statement or proof uses this declaration.
- Matroid.delete_deleteproof · cited by 8
- Matroid.IsRestriction.of_subsetproof · cited by 2
- Matroid.IsBasis.isBasis_restrict_of_subsetproof · cited by 1
- Matroid.restrict_idemproof · cited by 1
- Matroid.restrict_univ_removeLoops_eqproof · cited by 0
- Matroid.removeLoops_restrict_eq_restrictproof · cited by 0