T.constructor should be of type T

Given

class Example {
}

The current type of Example.constructor is Function, but I feel that it should be typeof Example instead. The use case for this is as follows:

I'd like to reference the current value of an overridden static property on the current class.

In TypeScript v1.5-beta, doing this requires:

class Example {
    static someProperty = "Hello, world!";

    constructor() {
        // Output overloaded value of someProperty, if it is overloaded.
        console.log(
            (<typeof Example>this.constructor).someProperty
        );
    }
}

class SubExample {
    static someProperty = "Overloaded! Hello world!";

    someMethod() {
        console.log(
            (<typeof SubExample>this.constructor).someProperty
        );
    }
}

After this proposal, the above block could be shortened to:

class Example {
    static someProperty = "Hello, world!";

    constructor() {
        // Output overloaded value of someProperty, if it is overloaded.
        console.log(
            this.constructor.someProperty
        );
    }
}

class SubExample {
    static someProperty = "Overloaded! Hello world!";

    someMethod() {
        console.log(
            this.constructor.someProperty
        );
    }
}

This removes a cast to the current class.

Use the two class examples in the issue as the behavioral starting point, then trace the TypeScript type-checking rules for instance constructors and static members. Done means the proposed this.constructor accesses type-check without the casts shown, while preserving the intended behavior for subclasses.