Can you jailbreak and iPhone 4 with software 6.1.3?

I want to use evasi0n or Redsnow to jailbreak my iphone 4 with 6.1.3 software. Is this software out yet? If it isn;t out, should I wait for the software to come out, or should I use TinyUmbrella to restore my previous software?

No, any device that has over ios 5.1 cannot be jailbroken. Well, it probably could, but it would be much more risky since apple has gotten so much more secure, besides… Why the f.u.c.k do you have an iphone? They are so bad.

Step 1: Download iOS 6.1.3 IPSW and firmware file for iOS 6.0.

Step 2: Download the latest version Redsn0w 0.9.15b3 here (Step 2).

Step 3: Run Redsn0w 0.9.15b3 in Administrator mode if you're on Windows or make a click, hold down Ctrl, and select “Open” from the new menu, if you are a user OS X Mountain Lion.

Step 4: Go to the menu Extras => Select IPSW and specify in the IPSW-file iOS 6.0 (not iOS 6.1.3) on the device for which you are performing the jailbreak.

Step 5: Go back to the first page and click on the Jailbreak button, then check Install Cydia and enter DFU mode following on screen instructions.

Step 6: Now Redsn0w will perform the iOS 6.1.3 jailbreaking. After completion clicking “Autoboot this device when it connects in DFU mode” to switch to tethered jailbreak. After the reboot you will get a device running jailbroken iOS 6.1.3 with Redsn0w.

The Best answer goes to @KYLE Thank mate it WORKED:) !