Sir, I have been here for years, and I've never seen any case of a Pokemon dying. [Sure, they do die from old age as far as she's aware, but in battle? No, that's very rare.] As long as you let him gain experience and keep him healed, he'll be just fine. These ones in particular can get pretty big and strong, actually!

[Thank goodness Jane knows enough about Gen 1 to know that.]