Survival of the Sheep!!! (Logic puzzles require you to think. You will have to be logical in your reasoning)

[venkat]

There is an island filled with grass and trees and plants. The only
inhabitants are 100 lions and 1 sheep.
The lions are special:
1) They are infinitely logical, smart, and completely aware of their
surroundings.
2) They can survive by just eating grass (and there is an infinite
amount of grass on the island).
3) They prefer of course to eat sheep.
4) Their only food options are grass or sheep.

Now, here's the kicker:

5) If a lion eats a sheep he TURNS into a sheep (and could then be
eaten by other lions).
6) A lion would rather eat grass all his life than be eaten by another
lion (after he turned into a sheep).

Assumptions:
1) Assume that one lion is closest to the sheep and will get to it
before all others. Assume that there is never an issue with who gets
to the sheep first. The issue is whether the first lion will get eaten
by other lions afterwards or not.
2) The sheep cannot get away from the lion if the lion decides to eat
it.
3) Do not assume anything that hasn't been stated above.

So now the question:
Will that one sheep get eaten or not and why?

[venkat]

The sheep would remain untouched if there is an even number of lions
on the island, and would be eaten immediately if there is an odd
number of lions on the island.