That's the same as [ A => B ] and therefore [ !A => !B ]. This can easily be shown to be an invalid inference by instantiating A and B appropriately.

  A = "It's Raining"
  B = "Water is falling from the sky"

The first is clearly true. If it's raining, then water is definitely falling from the sky. The second is clearly false. Just because water is falling from the sky, that does not necessarily mean that it's raining.

You can probably invent your own, somewhat more humorous examples.