To dishonor by a comparison with what is inferior; to lower in rank or estimation by actions or words; to speak slightingly of; to depreciate; to undervalue.
To ridicule, mock, discredit.
look down one's nose
verb
To regard as inferior or distasteful; to hold in contempt.
How often have the words disparage and look down one's nose occurred in a corpus of books? (source: Google Ngram Viewer )