Theorems · Theorem · commutative algebra
MvPolynomial.support_esymm
∀ (σ : Type u_5) (R : Type u_6) [inst : CommSemiring R] [inst_1 : Fintype σ] [inst_2 : DecidableEq σ] [Nontrivial R]
(n : ℕ),
(MvPolynomial.esymm σ R n).support =
Finset.image (fun t => ∑ i ∈ t, fun₀ | i => 1) (Finset.powersetCard n Finset.univ)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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 and proof · cited by 5,255
- Finset.sumstatement and proof · cited by 5,195
- Finset.univstatement and proof · cited by 3,473
- Nontrivialstatement and proof · cited by 2,416
- Finsupp.singlestatement and proof · cited by 943
- Finset.imagestatement and proof · cited by 910
- MvPolynomial.supportstatement · cited by 220
- Finset.powersetCardstatement and proof · cited by 60
- MvPolynomial.esymmstatement · cited by 31
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.degrees_esymmproof · cited by 0