Every time you call $(...) jQuery will create a new object. Because of this, comparing two jQuery collections with == will never return true, even when they are wrapping the same native DOM elements:

$('body') == $('body') // false

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In order to test if two jQuery objects refer to the same native DOM elements, use is:

var $a = $('body');
var $b = $('body');
$a.is($b); // true

Jasmine equality matcher for jQuery

See here for a custom Jasmine matcher that tests if two jQuery objects are equal.