Java 8 (1.8.11 at the time of the writing) is the latest Java version. It was released in March this year and contain various major updates, including the long-waited lambda support. This blog described how to update to JDK 8 on Mac OS and also to check the lambda support with a simple app.
To update eclipse software on Linux behind proxy is a bit tricky but doable and here is how: 1) Find the proxy server’s host name and your account’s authentication info 2) Open the network connection by “Windows”->”Preferences”-> “General”->”Network Connection”, select “manual” and enter the proxy information. Below is a screenshot of my setup: