Does this model have Bravia sync? - Sony BRAVIA KDL-40V3000 Television

Yes it does per SONY web site:
http://www.sonystyle.com/webapp/wcs/stores/servlet/ProductDisplay?catalogId=10551&storeId=10151&productId=8198552921665164630&langId=-1#specifications
BRAVIA® Theatre Sync™ technology

Sony® created BRAVIA® Theatre Sync™ to go beyond basic digital audio and video transmission. Based on the HDMI-CEC function, BRAVIA® Theatre Sync™ will be included on select BRAVIA® Theatre home A/V systems and components. This useful function reduces the hassle and time consuming job of powering up, routing signals, etc. to the simple push of one button.8 Want to play your DVD on your Sony® A/V system? Easy, just push PLAY on the BRAVIA® HDTV remote and everything is taken care of for you. Even when the system is off! Want to change from TV sound to digital surround sound through your Sony BRAVIA® Theatre A/V system? Just one push of the Theater Sound button on the remote and voila, surround sound through your system. Want to power down everything once you've finished enjoying it? Push one button and the TV and A/V system powers down. BRAVIA® Theatre Sync™ helps make things a whole lot easier to operate.