Theorems · Theorem · combinatorics
Multiset.map_singleton
∀ {α : Type u_1} {β : Type v} (f : α → β) (a : α), Multiset.map f {a} = {f a}- Defined in
- Mathlib.Data.Multiset.MapFold
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement · cited by 2,627
- Multiset.mapstatement · cited by 876
Cited by8
Results whose statement or proof uses this declaration.
- Polynomial.roots_X_pow_char_pow_sub_Cproof · cited by 2
- Multiset.map_eq_singletonproof · cited by 1
- PrimeSpectrum.exists_primeSpectrum_prod_le_and_ne_bot_of_domainproof · cited by 1
- UniqueFactorizationMonoid.normalizedFactors_prod_eqproof · cited by 0
- Polynomial.Monic.eq_X_sub_C_pow_of_natSepDegree_eq_one_of_splitsproof · cited by 0
- MvPolynomial.msymm_oneproof · cited by 0
- KummerDedekind.Ideal.irreducible_map_of_irreducible_minpolyproof · cited by 0
- PrimeSpectrum.exists_primeSpectrum_prod_leproof · cited by 0