Definitions of established:

• adjective:   brought about or set up or accepted; especially long established

  Example: "The established social order"

• adjective:   shown to be valid beyond a reasonable doubt

  Example: "The established facts in the case"

• adjective:   securely established

  Example: "An established reputation"

• adjective:   introduced from another region and persisting without cultivation
• adjective:   conforming with accepted standards
• adjective:   settled securely and unconditionally