The relationship between solution sets to logic equation and logic equation set and their application

This paper gives the theorem on relationship between solution sets to logic equation and logic equation set and the corresponding corollary. The conclusion is as the following: If the solution sets to two one-type logic equations are X₁ and X₂ respectively, then the solution set of the logic equation set is X₁ ∩ X₂; and if the solution sets to two zero-type logic equations are X₃ and X₄ respectively, then the solution set to the logic equation set is X₃ ∪ X₄. Therefore solution sets to non-zero and non-one type logic equation set can be got by using such a conclusion.