Table schema:
CREATE TABLE institution (institution_id VARCHAR, founded VARCHAR, type VARCHAR); CREATE TABLE protein (institution_id VARCHAR)

Question: How many proteins are associated with an institution founded after 1880 or an institution with type "Private"?
SQL: SELECT COUNT(*) FROM institution AS T1 JOIN protein AS T2 ON T1.institution_id = T2.institution_id WHERE T1.founded > 1880 OR T1.type = 'Private'