Cases of word usage

1) an officer in command of a military establishment (commandant)

2) the act of establishment (a university, church etc); a strong base of a building, on which it is built (foundation)

3) (an example of) the act of reforming or being reformed; the 16th-century movement for religious reform resulting in the establishment of the Protestant Church (reformation)

4) (an instance of) making an agreement (about a dispute etc); (an instance of) payment (of a debt etc); (a statement of) property given to a person; (the establishment of) a community, group of homes etc (settlement)