Theorems · Theorem · combinatorics
Matroid.map_freeOn
∀ {α : Type u_1} {β : Type u_2} {E : Set α} (f : α → β) (hf : Set.InjOn f (Matroid.freeOn E).E),
(Matroid.freeOn E).map f hf = Matroid.freeOn (f '' E)- Defined in
- Mathlib.Combinatorics.Matroid.Map
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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
- Matroid.dualproof · cited by 79
- Matroid.loopyOnproof · cited by 32
- Matroid.mapstatement · cited by 32
- Matroid.freeOnstatement and proof · cited by 25
- Matroid.dual_injproof · cited by 8
- Matroid.map.congr_simpproof · cited by 3
- Matroid.map_dualproof · cited by 1
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