 But what about the example with which we introduced the idea that, sometimes, when e is evidence for p, then p itself can be evidence for q? The example was the following: we can have adequate evidence for believing that 2 is a prime number, and then that proposition itself (that 2 is a prime number) can justify us in believing that that there is at least one even prime number. But, when examined more closely, this is not an obvious counterexample to Mere Lemmas. For, what could our adequate evidence that 2 is a prime number be? Presumably, it would be that 2 is divisible only by 1 and 2. That just is the definition of what it means for 2 to be a prime number, however, so some may balk at the idea that it counts as evidence for the proposition in question (rather than being identical with it). In any case, it would not count as a counterexample to Mere Lemmas. For if we have no evidence for the proposition that 2 is a prime number, then the condition for the application of Mere Lemmas is not  satisfied.[9]  If, on the other hand, our evidence is that 2 is divisible only by 1 and 2, then that proposition itself is obviously evidence for the proposition that an even number is prime.