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Theorems · Theorem · combinatorics

Matroid.IsBasis.mapEmbedding

∀ {α : Type u_1} {β : Type u_2} {I : Set α} {M : Matroid α} {X : Set α},
  M.IsBasis I X → ∀ (f : α ↪ β), (M.mapEmbedding f).IsBasis (⇑f '' I) (⇑f '' X)
Defined in
Mathlib.Combinatorics.Matroid.Map
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Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetSet.image · cited by 5609Set.imageMatroid · cited by 1258MatroidFunction.Embedding · cited by 988Function.EmbeddingMatroid.IsBasis · cited by 219Matroid.IsBasisMatroid.mapEmbedding · cited by 8Matroid.mapEmbeddingMatroid.IsBasis.map · cited by 6IsBasis.mapIsBasis.mapEmbeddingCITED BYCITES

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