Theorems · Theorem · combinatorics
Matroid.IsBase.mapEmbedding
∀ {α : Type u_1} {β : Type u_2} {M : Matroid α} {B : Set α},
M.IsBase B → ∀ (f : α ↪ β), (M.mapEmbedding f).IsBase (⇑f '' B)- Defined in
- Mathlib.Combinatorics.Matroid.Map
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Set.imagestatement and proof · cited by 5,609
- Matroidstatement and proof · cited by 1,258
- Function.Embeddingstatement and proof · cited by 988
- Matroid.IsBasestatement and proof · cited by 239
- Matroid.mapEmbeddingstatement · cited by 8
- Matroid.map_isBase_iffproof · cited by 5
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