1. third person singular present of establish; to set up or create something on a firm or permanent basis
2. to prove or demonstrate the truth or existence of something

Examples

• The company establishes new branches every year.
• She establishes clear rules for her classroom.
• The research establishes a link between diet and health.
• He establishes his credibility through hard work.
• The treaty establishes peace between the two nations.
• The evidence establishes his innocence beyond doubt.