COMPOSITION FOR NON-AQUEOUS SECONDARY BATTERY FUNCTIONAL LAYER, BATTERY MEMBER FOR NON-AQUEOUS SECONDARY BATTERY, METHOD OF PRODUCING LAMINATE FOR NON-AQUEOUS SECONDARY BATTERY, AND NON-AQUEOUS SECONDARY BATTERY

Provided is a composition for a non-aqueous secondary battery functional layer with which it is possible to form a functional layer that can cause a battery member for a non-aqueous secondary battery to display a balance of both high blocking resistance and high process adhesiveness. The composition for a non-aqueous secondary battery functional layer contains a particulate polymer having a core-shell structure including a core portion and a shell portion covering at least a portion of an outer surface of the core portion. The core portion is formed of a polymer A and the shell portion is formed of a polymer B including not less than 1 mol % and not more than 30 mol % of a sulfo group-containing monomer unit.