Theorems · Theorem · combinatorics
Matroid.eRank_map
∀ {α : Type u_1} {β : Type u_2} {f : α → β} (M : Matroid α) (hf : Set.InjOn f M.E), (M.map f hf).eRank = M.eRank- Defined in
- Mathlib.Combinatorics.Matroid.Rank.ENat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.imageproof · cited by 5,609
- ENatstatement and proof · cited by 4,985
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement and proof · cited by 550
- Set.InjOnstatement and proof · cited by 543
- Set.encardproof · cited by 327
- Matroid.IsBaseproof · cited by 239
- Set.InjOn.monoproof · cited by 61
- Matroid.eRankstatement and proof · cited by 36
- Matroid.mapstatement · cited by 32
- Matroid.IsBase.subset_groundproof · cited by 30
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