Theorems · Theorem · combinatorics
Finset.map_singleton
∀ {α : Type u_1} {β : Type u_2} (f : α ↪ β) (a : α), Finset.map f {a} = {f a}- Defined in
- Mathlib.Data.Finset.Image
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Finsetstatement · cited by 13,712
- Set.imageproof · cited by 5,609
- Function.Embeddingstatement and proof · cited by 988
- Finset.mapstatement and proof · cited by 747
- Set.image_singletonproof · cited by 174
- Finset.coe_singletonproof · cited by 145
- Finset.coe_injectiveproof · cited by 127
- Finset.coe_mapproof · cited by 114
Cited by15
Results whose statement or proof uses this declaration.
- SkewPolynomial.support_monomialproof · cited by 4
- Finset.map_insertproof · cited by 2
- SimpleGraph.cliqueSet_map_of_equivproof · cited by 1
- Submodule.disjoint_torsionBySet_idealproof · cited by 1
- Finset.HasAntidiagonal.filter_snd_eq_antidiagonalproof · cited by 1
- MeasureTheory.addContent_union'proof · cited by 1
- Finset.compls_singletonproof · cited by 0
- Finset.map_zeroproof · cited by 0
- Finset.disjSups_singletonproof · cited by 0
- MvPolynomial.sum_antidiagonal_card_esymm_psum_eq_zeroproof · cited by 0
- Finset.singleton_product_singletonproof · cited by 0
- EMetric.pair_reductionproof · cited by 0