establish

set up or found; "She set up a literacy program"

set up or lay the groundwork for; "establish a new department"

establish the validity of something, as by an example, explanation or experiment; "The experiment demonstrated the instability of the compound"; "The mathematician showed the validity of the conjecture"

institute, enact, or establish; "make laws"

bring about; "The trompe l'oeil-illusion establishes depth"

place; "Her manager had set her up at the Ritz"

build or establish something abstract; "build a reputation"

use as a basis for; found on; "base a claim on some observation"