Theorems · Definition · commutative algebra
Multiset.esymm
{R : Type u_1} → [CommSemiring R] → Multiset R → ℕ → RThe nth elementary symmetric function evaluated at the elements of s
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiring
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.
- CommSemiringstatement and proof · cited by 10,911
- Multisetstatement and proof · cited by 2,627
- Multiset.mapproof · cited by 876
- Multiset.prodproof · cited by 528
- Multiset.sumproof · cited by 388
- Multiset.powersetCardproof · cited by 29
Cited by21
Results whose statement or proof uses this declaration.
- Polynomial.coeff_eq_esymm_roots_of_cardstatement and proof · cited by 4
- Finset.esymm_map_valstatement · cited by 3
- Polynomial.norm_coeff_le_choose_mul_mahlerMeasureproof · cited by 3
- Multiset.prod_X_add_C_coeffstatement and proof · cited by 3
- Multiset.prod_X_add_C_eq_sum_esymmstatement and proof · cited by 3
- Multiset.esymm_negstatement and proof · cited by 2
- Polynomial.eq_mul_mul_of_roots_quadratic_eq_pairproof · cited by 2
- Polynomial.eq_neg_mul_add_of_roots_quadratic_eq_pairproof · cited by 2
- MvPolynomial.esymm_eq_multiset_esymmstatement · cited by 2
- Multiset.prod_X_sub_C_coeffstatement and proof · cited by 2
- Multiset.esymm_pair_onestatement · cited by 1
- Multiset.esymm_pair_twostatement · cited by 1