Xperia Z3 Compact pairing with Samsung smart TV

Hi Guys, I really like this phone, and I for sure intend to buy the Z5 compact. But something is bothering me, as now (having a samsung smartphone) I can watch my movie directly from the phone on my TV, through the common WIFI in my house. And the movies play in background on the phone, so I use it further while watching them on TV. Can I do this with the Z3 compact, and on the Z5 compact for that matter? And where do I find the option? I had Z3 Compact before but could not find how, so I sold it :)).

Thank you!