Are you people serious about this DX11 running on PS4? PS4 uses GNMX and GNM, created by Sony specifically for PS4. It has DX11-like feature set but is not DX11.

And frankly it wouldn't make sense for a console to use DX11. The whole point of DX is to make it possible for a game to run in multiple hardware variations which comes with a cost in performance. A console doesn't need that because it has fixed hardware. The only reason why a console would use DX or OGL is to make it possible for the games to still work on the next version of that console. Till now though consoles have always started their library from scratch and whatever backwards compatibility one may have had has been done through emulation.