Provided herewith is a therapeutic agent or prophylactic agent comprising an antibody for use in a method of reducing tau protein that has been phosphorylated on an amino acid residue present at position 413 of the tau protein represented by SEQ ID NO: 1 in the brain, wherein the antibody participates in antigen-antibody reaction with a peptide comprising at least 8 contiguous amino acids within 410-421 of SEQ ID NO: 1, the amino acid at position 413 being phosphorylated; and wherein the binding of the antibody to the tau protein phosphorylated at the amino acid residue corresponding to Ser413 of SEQ ID NO: 1 is at least 10 time stronger than the binding to a tau protein that has not been phosphorylated at said Ser413.