If an image's apparent colour cast is the difference between the lighting colour temperature that appeared in the scene, and the white balance colour temperature setting, then:
cast temperature = lighting temperature - white balance temperature.
Or to put it another way:
white balance temperature = lighting temperature - cast temperature.
The overall colour temperature of the image is the lighting temperature (absolute value) + the colour cast (relative shift).
So to increase the cast temperature (thereby increasing the overall image temperature, making it bluer) you
decrease the white balance temperature. Decrease the cast (yellower image) by
increasing the white balance temperature.
As an example, the diagram shows how a scene shot under 5000K-rated lighting looks if you increase or decrease the white balance temperature by 1000K.
After a white balance
increase in temperature, the original neutral tones now map to yellower tones: an image colour temperature
decrease.
After a white balance
decrease in temperature, the original neutral tones now map to bluer tones: an image colour temperature
increase.
This is why the Lightroom slider is correct in showing blue to the lower end of the scale, and yellow to the upper end. Think of white balance as a correctional shift, remapping the tones recorded by the camera's sensor. It's the
difference between what you recorded, and how you want the image to appear.