Rule priority and Primary property

[Chicagoan2016]

My understanding is, rules' priority works based on primary property. e.g. If I have Name property with 'Required' rule at priority -10 and 'ToUpper' rule at priority 0.
Rule with priority 0 will only run if -10 rule is satisfied but only for Name property. This won't affect rules for other (primary) properties?
We have a business rule 'SpecialRequired' with four input properties and the rule's purpose is to determine whether or not the primary property is required based on the values of the three other properties. We have 'required' rules for the three properties with higher priorities but we are still hitting the 'SpecialRequired' because the primary property is different.

Kind regards