Theorems · Theorem · commutative algebra

PolyEquivTensor.toFunLinear_mul_tmul_mul_aux_2

∀ (R : Type u_1) (A : Type u_3) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] (k : ℕ) (a₁ a₂ : A)
  (p₁ p₂ : Polynomial R),
  a₁ * a₂ * (algebraMap R A) ((p₁ * p₂).coeff k) =
    ∑ x ∈ Finset.HasAntidiagonal.antidiagonal k,
      a₁ * (algebraMap R A) (p₁.coeff x.1) * (a₂ * (algebraMap R A) (p₂.coeff x.2))

Defined in

Mathlib.RingTheory.PolynomialAlgebra

Cited by

1 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebra