For pure water, the product $\left[{\mathrm{H}}^{+}\right]\left[{\mathrm{OH}}^{-}\right]$

For pure water, the product $\left[{\mathrm{H}}^{+}\right]\left[{\mathrm{OH}}^{-}\right]$ decreases with increase in temperature

You might check these pH levels on your own, which would be helpful. As the temperature rises, it is evident that the pH of pure water lowers. The pOH likewise drops off similarly.