TypeScript doesn't check multiple method definitions correctly

[toothbrush7777777]

Example

function test(element: HTMLElement);
function test(selector: string);
function test(elementOrSelector: HTMLElement|string) {
    var element: HTMLElement, initialText = '';

    if (typeof elementOrSelector === 'string') {
        element = <any>document.querySelector(elementOrSelector);
    } else if (elementOrSelector instanceof HTMLElement) {
        element = elementOrSelector;
    } else {
        throw new TypeError('elementOrSelector must be either an HTML element or a CSS selector (e.g. passing document.getElementById("element") and "#element" is equivalent)');
    }
}

function replace(element: HTMLElement);
function replace(selector: string);
function replace(elementOrSelector: HTMLElement|string) {
    return test(elementOrSelector);
}

TypeScript throws an error on line 18 (return test(elementOrSelector);):

Argument of type 'string | HTMLElement' is not assignable to parameter of type 'string'. Type 'HTMLElement' is not assignable to type 'string'.
(parameter) elementOrSelector: string | HTMLElement

[RyanCavanaugh]

Same issue as in #1805.