Theorems · Theorem · combinatorics
Matroid.restrictSubtype_dual
∀ {α : Type u_1} {M : Matroid α}, (M.restrictSubtype M.E)✶ = M✶.restrictSubtype M.E- Defined in
- Mathlib.Combinatorics.Matroid.Map
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Set.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement and proof · cited by 550
- Set.image_univproof · cited by 322
- Function.Injective.injOnproof · cited by 280
- Subtype.val_injectiveproof · cited by 232
- Subtype.range_coe_subtypeproof · cited by 170
- Matroid.restrictproof · cited by 111
- Matroid.dualstatement and proof · cited by 79
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.restrictSubtype_dual'proof · cited by 0