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Theorems · Theorem · combinatorics

Matroid.IsBase.map

∀ {α : Type u_1} {β : Type u_2} {M : Matroid α} {B : Set α},
  M.IsBase B → ∀ {f : α → β} (hf : Set.InjOn f M.E), (M.map f hf).IsBase (f '' B)
Defined in
Mathlib.Combinatorics.Matroid.Map
Cited by
1 results in Mathlib
Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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Matroid.eRank_map · cited by 0Matroid.eRank_mapSet · cited by 53352SetSet.image · cited by 5609Set.imageMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.ESet.InjOn · cited by 543Set.InjOnMatroid.IsBase · cited by 239Matroid.IsBaseMatroid.map · cited by 32Matroid.mapMatroid.map_isBase_iff · cited by 5Matroid.map_isBase_iffIsBase.mapCITED BYCITES

Cites8

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Cited by1

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