Theorems · Definition · combinatorics
Matroid.mapSetEmbedding
{α : Type u_1} → {β : Type u_2} → (M : Matroid α) → (↑M.E ↪ β) → Matroid βMap a matroid M to an isomorphic copy in β using an embedding M.E ↪ β.
- Defined in
- Mathlib.Combinatorics.Matroid.Map
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Set.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- Set.rangeproof · cited by 4,705
- Matroidstatement and proof · cited by 1,258
- Function.Embeddingstatement and proof · cited by 988
- Matroid.Estatement and proof · cited by 550
- Matroid.Indepproof · cited by 367
- Matroid.ofExistsMatroidproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Matroid.mapSetEmbedding_groundstatement · cited by 0
- Matroid.mapSetEmbedding_indep_iffstatement · cited by 0
- Matroid.mapSetEmbedding_indep_iff'statement · cited by 0
- Matroid.Indep.exists_eq_image_of_mapSetEmbeddingstatement and proof · cited by 0