Theorems · Theorem · commutative algebra
MvPolynomial.esymmAlgHomMonomial_single
∀ {σ : Type u_1} {R : Type u_3} {n k : ℕ} [inst : CommSemiring R] [inst_1 : Fintype σ] {i : Fin n} {r : R},
MvPolynomial.esymmAlgHomMonomial σ (fun₀ | i => k) r = MvPolynomial.C r * MvPolynomial.esymm σ R (↑i + 1) ^ k- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement and proof · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- pow_zeroproof · cited by 1,094
- Finsupp.singlestatement and proof · cited by 943
- MvPolynomial.Cstatement and proof · cited by 400
- MvPolynomial.monomialproof · cited by 253
- Finsupp.prodproof · cited by 231
- MvPolynomial.esymmstatement and proof · cited by 31
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.esymmAlgHomMonomial_single_oneproof · cited by 2