Implementation of interface requires member's redeclaration in a class [duplicate]

In TypeScript, I have been always doing something like

interface People {
    name: string;
}
class Employee implements People {
    name: string;
    foo: string;
}

when I implement interfaces through classes.

However, I alway wonder why should I have to redeclare the attributes.

I bought a book about Angular and Design Patterns and read that if you do

interface People {
    name: string;
}
class Employee implements People {
    foo: string;
}

in TypeScript, that should inherit the properties from the interfaces, so I was surprised.

Then, I have tried but nothing the compiler fails, so is that correct? Should I change something in my tsconfig or whatever like that?

I am curious about this question and I couldn't find a clear answer on GitHub about that, so I would like to not duplicate code or have more boilerplate, if it is possible.