Final answer:
The argument depends on the assumption that dehumidification will effectively eliminate or significantly reduce the presence of the fungus and its spores, thereby deterring paper lice without the need for harmful insecticides. The correct option of choice is C. After the fungus has been eliminated, fungal spores do not remain in any significant quantity.
Step-by-step explanation:
The argument put forth suggests that dehumidifying the environment where rare books are stored can prevent damage from paper lice without using insecticides, which may be harmful to fragile texts. The assumption upon which this argument rests is that by reducing dampness, the fungus and, subsequently, its spores on which the paper lice feed will be eliminated or significantly reduced, thereby creating an environment that is no longer conducive to paper lice infestation. Therefore, the underlying assumption is most aligned with option C: After the fungus has been eliminated, fungal spores do not remain in any significant quantity. This assumes that the dehumidification will be effective enough to remove the primary food source of the lice.