Swift: Property conforming to a specific class and in the same time to multiple protocols

You can do this with a generic class using a where clause:

A where clause enables you to require that an associated type conforms
to a certain protocol, and/or that certain type parameters and
associated types be the same.

To use it, make the class your property is defined in a generic class with a type constraint to check if the type parameter for your property matches your desired base class and protocols.

For your specific example, it could look something like this:

class MyViewController<T where T: UIView, T: Protocol1, T: Protocol2>: UIViewController {
    var myView: T

    // ...
}