The phrase "and its premises" is correct and usable in written English.
It can be used when discussing the foundational assumptions or propositions that support a particular argument or theory.
Example: "The theory is compelling, but we must also examine its premises to understand its validity."
Alternatives: "and its assumptions" or "along with its foundations".
It is valid, and its premises are true.
The new Heizkraftwerk and its premises would have been an award-winning project, if it wasn't for local politicians who interfered – a very poignant example of courage in urban planning turned sour.
Hegel's thought eludes easy summation, and its premises are not intuitively obvious.
The exchange was closed in 1939, and its premises are now given over to office and exhibition space.
About seven years ago, OTB moved out and its premises were divided in half, with Radio Shack taking part of it and the rest remaining vacant.
In a picture Mr. Vergara took that year, the bar is gone and its premises divided into two small storefronts painted different colors: the one on the left baby blue, the one on the right fire-engine red.
The app is called RulerPhone and its premise is simple: it will let you take a picture with your iPhone and allow you to measure the distances and dimensions between objects in that picture.
It is high-concept and its premise is instantly gripping as well as having a profoundly archetypal feel to it.
It's overlong, overly cutesy and its premise has been disappointingly overworked, but writer-director Tom Edmunds' "Dead in a Week" (subtitled "Or Your Money Back") is too genial to dislike … well, much, anyway.
It is called The Boss Rules and its premise is that the road to a fulfilled life lies in applying lessons gleaned from the lyrics of Bruce Springsteen.
It was titled Beagle, Shyster, and Beagle, and its premise involved an unethical lawyer/private detective and his bungling assistant.
