input hypothesis: Giuseppe Vitali and Constantin Carathéodory are related

Context: In mathematics, the Vitali–Carathéodory theorem is a result in real analysis that shows that, under the conditions stated below, integrable functions can be approximated in L from above and below by lower- and upper-semicontinuous functions, respectively. It is named after Giuseppe Vitali and Constantin Carathéodory.
true or false: It's impossible to say
input hypothesis: Avoiding surgery and dialysis in America would cost more money.
Context: Now, what happens is when you begin to get people covered like that -- for instance in diabetes, if you diagnose diabetes early, you could save $50 billion in the health care system of America by avoiding surgery and dialysis. It works. And I'm going to offer it to America.
true or false: No
input hypothesis: The card will no longer be valid at some point.
Context: That has the benefit of making sure our employers aren't breaking the law as they try to fill their workforce needs. It makes sure that the people coming across the border are humanely treated, that they're not kept in the shadows of our society, that they're able to go back and forth to see their families. See, the card, it'll have a period of time attached to it.
true or false: Yes
input hypothesis: some online platforms are hard to set up
Context: How to put graduate course work online<br>Utilize a course management system (cms). Also referred to as a learning management system (lms) or virtual learning environment (vle), these web-based systems are designed to offer instructors space to post course material online. Students and instructors are required to sign in with a username and password and are only given access to their own courses.
true or false: