Theorems · Theorem · commutative algebra
MvPolynomial.esymm_eq_sum_subtype
∀ (σ : Type u_5) (R : Type u_6) [inst : CommSemiring R] [inst_1 : Fintype σ] (n : ℕ), MvPolynomial.esymm σ R n = ∑ t, ∏ i ∈ ↑t, MvPolynomial.X i
We can define esymm σ R n by summing over a subtype instead of over powerset_len.
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- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringFintype
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Cites14
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
- CommSemiringstatement and proof · cited by 10,911
- Fintypestatement and proof · cited by 7,736
- Finsuppstatement · cited by 5,255
- Finset.sumstatement · cited by 5,195
- Finset.univstatement and proof · cited by 3,473
- Finset.prodstatement and proof · cited by 2,356
- Finset.cardstatement · cited by 2,327
- MvPolynomialstatement · cited by 2,140
- MvPolynomial.Xstatement and proof · cited by 552
- Finset.powersetCardproof · cited by 60
- MvPolynomial.esymmstatement · cited by 31
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