Theorems · Theorem · combinatorics
Matroid.map_loopyOn
∀ {α : Type u_1} {β : Type u_2} {E : Set α} (f : α → β) (hf : Set.InjOn f (Matroid.loopyOn E).E),
(Matroid.loopyOn E).map f hf = Matroid.loopyOn (f '' E)- Defined in
- Mathlib.Combinatorics.Matroid.Map
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Set.imagestatement and proof · cited by 5,609
- Matroidstatement · cited by 1,258
- Matroid.Estatement and proof · cited by 550
- Set.InjOnstatement and proof · cited by 543
- Set.image_emptyproof · cited by 73
- Matroid.loopyOnstatement and proof · cited by 32
- Matroid.mapstatement · cited by 32
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.map_freeOnproof · cited by 0