A heat-sealable multilayer film comprising: a) 1 to 50 wt% of a heat-sealable polymer layer, b) 1 to 99 wt% of a polymer layer, and c) 0 to 95 wt% of a polymer layer, where, if present, polymer layer is between polymer layer and polymer layer, and the proportions a), b) and c) are each based on the total weight of the film, and where polymer layer contains: A1) 20 to 90 wt% - based on total weight of - of at least one impact-resistant polystyrene, A2) 5 to 50 wt% - based on total weight of - of at least one vinylaromatic-diene block copolymer; and A3) 0 to 30 wt% - based on total weight of - of at least one glidant and/or lubricant, and A4) 0 to 10 wt% - based on total weight of - of auxiliaries and additives other than A3); and where polymer layer is different than and and at least one component is selected from the group consisting of: impact-resistant polystyrene, vinylaromatic-diene block copolymers, and mixtures of styrene homopolymers or vinylaromatic-diene graft copolymers with vinylaromatic-diene block copolymers; and polymer layer is different than and has a melting temperature of at least 170°C; and where polymer layer comprises (i) 66 to 99 vol% of a hard phase, based on, containing structural units of at least one vinylaromatic monomer, especially styrene, and ii) 1 to 34 vol% of a soft phase, based on, containing structural units of at least one conjugated diene, especially butadiene; and where the soft phase ii) is in the form of spheres and/or cylinders surrounded by the hard phase. a) 1 to 50 wt% of a heat-sealable polymer layer, b) 1 to 99 wt% of a polymer layer, and c) 0 to 95 wt% of a polymer layer, where, if present, polymer layer is between polymer layer and polymer layer, and the proportions a), b) and c) are each based on the total weight of the film, and where polymer layer contains: A1) 20 to 90 wt% - based on total weight of - of at least one impact-resistant polystyrene, A2) 5 to 50 wt% - based on total weight of - of at least one vinylaromatic-diene block copolymer; and A3) 0 to 30 wt% - based on total weight of - of at least one glidant and/or lubricant, and A4) 0 to 10 wt% - based on total weight of - of auxiliaries and additives other than A3); and where polymer layer is different than and and at least one component is selected from the group consisting of: impact-resistant polystyrene, vinylaromatic-diene block copolymers, and mixtures of styrene homopolymers or vinylaromatic-diene graft copolymers with vinylaromatic-diene block copolymers; and polymer layer is different than and has a melting temperature of at least 170°C; and where polymer layer comprises (i) 66 to 99 vol% of a hard phase, based on, containing structural units of at least one vinylaromatic monomer, especially styrene, and ii) 1 to 34 vol% of a soft phase, based on, containing structural units of at least one conjugated diene, especially butadiene; and where the soft phase ii) is in the form of spheres and/or cylinders surrounded by the hard phase. polymer layer contains: A1) 20 to 90 wt% - based on total weight of - of at least one impact-resistant polystyrene, A2) 5 to 50 wt% - based on total weight of - of at least one vinylaromatic-diene block copolymer; and A3) 0 to 30 wt% - based on total weight of - of at least one glidant and/or lubricant, and A4) 0 to 10 wt% - based on total weight of - of auxiliaries and additives other than A3); and where A1) 20 to 90 wt% - based on total weight of - of at least one impact-resistant polystyrene, A2) 5 to 50 wt% - based on total weight of - of at least one vinylaromatic-diene block copolymer; and A3) 0 to 30 wt% - based on total weight of - of at least one glidant and/or lubricant, and A4) 0 to 10 wt% - based on total weight of - of auxiliaries and additives other than A3); and where polymer layer is different than and and at least one component is selected from the group consisting of: impact-resistant polystyrene, vinylaromatic-diene block copolymers, and mixtures of styrene homopolymers or vinylaromatic-diene graft copolymers with vinylaromatic-diene block copolymers; and polymer layer is different than and has a melting temperature of at least 170°C; and where polymer layer comprises (i) 66 to 99 vol% of a hard phase, based on, containing structural units of at least one vinylaromatic monomer, especially styrene, and ii) 1 to 34 vol% of a soft phase, based on, containing structural units of at least one conjugated diene, especially butadiene; (i) 66 to 99 vol% of a hard phase, based on, containing structural units of at least one vinylaromatic monomer, especially styrene, and ii) 1 to 34 vol% of a soft phase, based on, containing structural units of at least one conjugated diene, especially butadiene; and where the soft phase ii) is in the form of spheres and/or cylinders surrounded by the hard phase.