establish
To set something up so it is real and lasting.
To establish something means to create it, set it up, or make it permanent and official. When your parents established rules for screen time, they didn't just mention them once: they made them clear, consistent, and enforceable. When a town establishes a new library, it builds the building, hires staff, and opens the doors for good.
The word carries a sense of making something solid and lasting. You might start a lemonade stand on a whim, but if you establish a business, you're setting up something meant to continue. Scientists work to establish facts through careful experiments, showing something is true beyond doubt. A coach might establish herself as a great leader through years of successful seasons.
When something is established, it's been around long enough that people accept it as permanent or true. An established company has been operating successfully for years. Established facts are ones that experts agree on. The United States was established in 1776, marking when it officially became an independent nation.
You can also establish connections or relationships: when you establish trust with a friend, you build it through honest actions over time. The word suggests something more permanent than just starting something: it means making it real, recognized, and built to last.