That's a self-contradictory definition.
For example, ownership of limited resources (something which fall inside that "right to private property" part) actually reduces the "liberty" of most people (which is another part in that definition) because it means a few control access to those resources, something which is painfully obvious in the current prices of housing.
And don't get me started on how the natural positive feedback-cycle that comes from the "right to private property" - whose ultimate effects can be described in simple terms as "the richer you are the richer you get" - in practice ends up subverting pretty much all of the rest: the rich aren't treated by the law the same as the rest (because even in the fairest of Justice Systems they can afford better legal representation that those who aren't as rich), they have far more political power than those who aren't as rich (because they can buy politicians, which the poor can't) and it's a lot easier for them to ensure their rights are abide by than it is for those who have less money for lawyers and courts.
In fact that whole definition feels like the kind of thing concocted by a Think Tank or Marketing Agency to swindle those who can't think their way past vague flowery positive sounding verbiage.
Liberalism is functionally as much pro-Liberty as the National Socialist Party Of The German Worker was functionally pro-Worker or the Democratic Republic Of North Korea is functionally pro having citizens freely choose who governs their country.