Theorems · Theorem · combinatorics
Matroid.restrict_isRestriction
∀ {α : Type u_1} (M : Matroid α) (R : Set α),
autoParam (R ⊆ M.E) Matroid.restrict_isRestriction._auto_1 → (M.restrict R).IsRestriction M- Cited by
- 5 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.restrictstatement · cited by 111
- Matroid.IsRestrictionstatement · cited by 45
Cited by5
Results whose statement or proof uses this declaration.
- Matroid.IsRestriction.of_subsetproof · cited by 2
- Matroid.restrict_isStrictRestrictionproof · cited by 1
- Matroid.removeLoops_isRestrictionproof · cited by 1
- Matroid.delete_isRestrictionproof · cited by 1
- Matroid.isRestriction_iff_existsproof · cited by 0