verb:to set up or found on a firm or permanent basis
The settlers aimed to establish a new colony.
verb:to achieve permanent acceptance or recognition for
The young director worked hard to establish her reputation in the film industry.
verb:to show or prove to be true or valid
The detective needed to establish an alibi for the suspect.
verb:to place oneself in a comfortable or secure position
He established himself in a cozy armchair by the fire.
