Multilayer films which can be hot laminated

A layer consisting essentially of two ethylene/vinyl acetate copolymers (A and B) with different vinyl acetate contents is used as the outer heat-laminating layer (III) in a heat-laminatable, at least monoaxially-oriented multilayer sheet material with a base layer (I) and another outer layer (II), both of which consist essentially of polypropylene. An Independent claim is also included for a process for the production of composites by laminating this material with any substrate under the action of heat and pressure, with layer (III) next to the substrate.