Theorems · Definition · combinatorics
Finset.mapEmbedding
{α : Type u_1} → {β : Type u_2} → (α ↪ β) → Finset α ↪o Finset βAssociate to an embedding f from α to β the order embedding that maps a finset to its
image under f.
- Defined in
- Mathlib.Data.Finset.Image
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Function.Embeddingstatement and proof · cited by 988
- Finset.mapproof · cited by 747
- OrderEmbeddingstatement · cited by 619
- Finset.map_subset_mapproof · cited by 7
- OrderEmbedding.ofMapLEIffproof · cited by 6
Cited by9
Results whose statement or proof uses this declaration.
- Finset.eraseNoneproof · cited by 21
- Finset.map_injectiveproof · cited by 9
- Finset.mem_eraseNoneproof · cited by 2
- MvPolynomial.rename_esymmproof · cited by 2
- Finset.mapEmbedding_applystatement · cited by 1
- Finset.map_ssubset_mapproof · cited by 1
- Finset.powersetCard_mapstatement and proof · cited by 1
- Finset.map_injproof · cited by 0
- Equiv.finsetCongr_toEmbeddingstatement · cited by 0