Ohm's Law is written as ΔV=IR. Where "ΔV" indicates the voltage, "I" indicates the current, and "R" indicates the resistance.
To "obey Ohm's law" the resistance, "R," must remain constant within the equation. We can think of Ohm's law like the slope-intercept formula, y=mx+b. "y" would act as "ΔV," "m" the slope would act as "R," and "x" would act as "I," and "b" is zero.
If the resistance is to remain constant within the equation and we decrease the voltage, what happens to the current? Solution: In order for the equation to remain balanced the current must increase to account for the drop in voltage.