English
A family of algebra equivalences e_i: A_i ≃ₐ[R] A_i' yields a product-algebra equivalence between Π i, A_i and Π i, A_i'.
Русский
Семейство алгебрических эквивалентов e_i: A_i ≃ₐ[R] A_i' порождает произведение-алгебрическое эквивалентство между ∏_i A_i и ∏_i A_i'.
LaTeX
$$$ \\mathrm{piCongrRight} (e_i) : (\\prod_i A_i) \\simeq_{aR} (\\prod_i A_i') $$$
Lean4
/-- A special case of `Pi.algebra` for non-dependent types. Lean struggles to elaborate
definitions elsewhere in the library without this. -/
instance algebra {R : Type*} (ι : Type*) (A : Type*) [CommSemiring R] [Semiring A] [Algebra R A] : Algebra R (ι → A) :=
Pi.algebra _ _
