1. to create or set up something that will last for a long time
2. to prove or show that something is true or correct
3. to cause someone or something to be accepted or recognized in a particular position or role

Examples

• The university was established in 1885.
• She hopes to establish her own business next year.
• The evidence clearly establishes his innocence.
• Scientists have established a link between diet and health.
• He worked hard to establish himself as a reliable employee.
• The new policy will establish clear guidelines for students.
• They established a scholarship fund in memory of their daughter.