The use of a protease, selected from a) proteases comprising an amino acid sequence which is at least 70% identical to the amino acid sequence specified in SEQ ID NO:1 over the entire length thereof and, in the numbering according to SEQ ID NO:1, has the amino acid V at position 193 and/or has the amino acid L at position 211, b) proteases comprising an amino acid sequence which is at least 70% identical to the amino acid sequence specified in SEQ ID NO:2 over the entire length thereof and, in the numbering according to SEQ ID NO:2, has the amino acid R at position 9 and/or has the amino acid T at position 15 and/or has the amino acid A at position 66 and/or has the amino acid D at position 212 and/or has the amino acid R at position 239, and c) mixtures thereof, for enhancing the bleaching performance of acylhydrazones of general formula, in which R 1 represents a CF 3 or a C 1-28 alkyl, C 2-28 alkenyl, C 2-22 alkynyl, C 3-12 cycloalkyl, C 3-12 cycloalkenyl, phenyl, naphthyl, C 7-9 aralkyl, C 3-20 heteroalkyl or C 3-12 cycloheteroalkyl group, R 2 and R 3 represent, independently of one another, hydrogen or an optionally substituted C 1-28 alkyl, C 2-28 alkenyl, C 2-22 alkynyl, C 3-12 cycloalkyl, C 3-12 cycloalkenyl, C 7-9 aralkyl, C 3-28 heteroalkyl, C 3-12 cycloheteroalkyl, C 5-16 heteroaralkyl, phenyl, naphthyl or heteroaryl group, or R 2 and R 3, together with the carbon atom which binds them, represent an optionally substituted 5-, 6-, 7-, 8- or 9-membered ring which can optionally contain heteroatoms, and R 4 represents hydrogen or a C 1-28 alkyl, C 2-28 alkenyl, C 2-22 alkynyl, C 3-12 cycloalkyl, C 3-12 cycloalkenyl, C 7-9 aralkyl, C 3-20 heteroalkyl, C 3-12 cycloheteroalkyl, C 5-16 heteroaralkyl group or an optionally substituted phenyl or naphthyl or heteroaryl group, when washing textiles or cleaning hard surfaces in the presence of peroxygen-containing washing or cleaning agents. a) proteases comprising an amino acid sequence which is at least 70% identical to the amino acid sequence specified in SEQ ID NO:1 over the entire length thereof and, in the numbering according to SEQ ID NO:1, has the amino acid V at position 193 and/or has the amino acid L at position 211, b) proteases comprising an amino acid sequence which is at least 70% identical to the amino acid sequence specified in SEQ ID NO:2 over the entire length thereof and, in the numbering according to SEQ ID NO:2, has the amino acid R at position 9 and/or has the amino acid T at position 15 and/or has the amino acid A at position 66 and/or has the amino acid D at position 212 and/or has the amino acid R at position 239, and c) mixtures thereof, for enhancing the bleaching performance of acylhydrazones of general formula, in which R 1 represents a CF 3 or a C 1-28 alkyl, C 2-28 alkenyl, C 2-22 alkynyl, C 3-12 cycloalkyl, C 3-12 cycloalkenyl, phenyl, naphthyl, C 7-9 aralkyl, C 3-20 heteroalkyl or C 3-12 cycloheteroalkyl group, R 2 and R 3 represent, independently of one another, hydrogen or an optionally substituted C 1-28 alkyl, C 2-28 alkenyl, C 2-22 alkynyl, C 3-12 cycloalkyl, C 3-12 cycloalkenyl, C 7-9 aralkyl, C 3-28 heteroalkyl, C 3-12 cycloheteroalkyl, C 5-16 heteroaralkyl, phenyl, naphthyl or heteroaryl group, or R 2 and R 3, together with the carbon atom which binds them, represent an optionally substituted 5-, 6-, 7-, 8- or 9-membered ring which can optionally contain heteroatoms, and R 4 represents hydrogen or a C 1-28 alkyl, C 2-28 alkenyl, C 2-22 alkynyl, C 3-12 cycloalkyl, C 3-12 cycloalkenyl, C 7-9 aralkyl, C 3-20 heteroalkyl, C 3-12 cycloheteroalkyl, C 5-16 heteroaralkyl group or an optionally substituted phenyl or naphthyl or heteroaryl group, when washing textiles or cleaning hard surfaces in the presence of peroxygen-containing washing or cleaning agents. in which R 1 represents a CF 3 or a C 1-28 alkyl, C 2-28 alkenyl, C 2-22 alkynyl, C 3-12 cycloalkyl, C 3-12 cycloalkenyl, phenyl, naphthyl, C 7-9 aralkyl, C 3-20 heteroalkyl or C 3-12 cycloheteroalkyl group, R 2 and R 3 represent, independently of one another, hydrogen or an optionally substituted C 1-28 alkyl, C 2-28 alkenyl, C 2-22 alkynyl, C 3-12 cycloalkyl, C 3-12 cycloalkenyl, C 7-9 aralkyl, C 3-28 heteroalkyl, C 3-12 cycloheteroalkyl, C 5-16 heteroaralkyl, phenyl, naphthyl or heteroaryl group, or R 2 and R 3, together with the carbon atom which binds them, represent an optionally substituted 5-, 6-, 7-, 8- or 9-membered ring which can optionally contain heteroatoms, and R 4 represents hydrogen or a C 1-28 alkyl, C 2-28 alkenyl, C 2-22 alkynyl, C 3-12 cycloalkyl, C 3-12 cycloalkenyl, C 7-9 aralkyl, C 3-20 heteroalkyl, C 3-12 cycloheteroalkyl, C 5-16 heteroaralkyl group or an optionally substituted phenyl or naphthyl or heteroaryl group, when washing textiles or cleaning hard surfaces in the presence of peroxygen-containing washing or cleaning agents.