It is a generic term that means "hardenable stainless steel" that, further, has been demonstrated to be chemically unreactive with [human] tissue, blood, etc.
"Demonstrated" means that a specific Food and Drug Administration testing procedure has been passed.
"Unreactive" means, for example, having used the steel in a surgical procedure, skin and tissue at the procedure's site will not become inflamed because of the steel. Analogy: Some people are unable to wear jewelry made from metal with a nickel content.
Parenthetically, I had a friend whose plating company used their proprietary chrome plating to render surgical instruments unreactive.