Theorems · Theorem · commutative algebra
MvPolynomial.esymmAlgHomMonomial_single_one
∀ {σ : Type u_1} {R : Type u_3} {n k : ℕ} [inst : CommSemiring R] [inst_1 : Fintype σ] {i : Fin n},
MvPolynomial.esymmAlgHomMonomial σ (fun₀ | i => k) 1 = MvPolynomial.esymm σ R (↑i + 1) ^ k- Cited by
- 2 results in Mathlib
- Foundations
- Depth 101 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.
Cites11
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
- Fintypestatement and proof · cited by 7,736
- Finsuppstatement · cited by 5,255
- one_mulproof · cited by 2,841
- MvPolynomialstatement and proof · cited by 2,140
- Finsupp.singlestatement · cited by 943
- map_oneproof · cited by 861
- MvPolynomial.Cproof · cited by 400
- MvPolynomial.esymmstatement and proof · cited by 31
- MvPolynomial.esymmAlgHomMonomialstatement · cited by 9
- MvPolynomial.esymmAlgHomMonomial_singleproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- MvPolynomial.leadingCoeff_esymmAlgHomMonomialproof · cited by 3
- MvPolynomial.supDegree_esymmAlgHomMonomialproof · cited by 2