Actually, your diagram needs a bit of revision (or definition). In the example you provide, R1 and R3 cannot be equal to H. If this were the case, you would have a substituted imidazole molecule. Deprotonation would yield (R1 or R3 = nothing) a substituted imidazolium species whereas alkylation (or quaternization) of one of those species would yield one as well. Keep in mind that R1 and R3 cannot both be quaternized, only one (in your example). Therefore, either R1 or R3 must be equal to H (they can both be equal to H as well) but they both can't be an alkyl group.
Edit: Bolded item is wrong. It should read, "either R1 or R3 must be equal to 'nothing' and either one or the other may be equal to an alkyl. Both may also be equal to 'nothing' ".