English
An instance provides the product of two lists as a list of pairs: List.product.
Русский
Экземпляр устанавливает произведение двух списков как список пар: List.product.
LaTeX
$$$\\mathrm{instSProd} : SProd(\\mathrm{List}\\,\\alpha)(\\mathrm{List}\\,\\beta)(\\mathrm{List}(\\alpha \\times \\beta))$ where $sprod$ is defined as $\\mathrm{List.product}$$$
Lean4
/-- Notation for calculating the product of a `List` -/
instance instSProd : SProd (List α) (List β) (List (α × β)) where sprod := List.product