In this paper, Intent Waned Values and Compact Dependency are proposed as new concepts. It has strictly been proven that a dependent foundation that consisted of compact dependencies is an irredundant and complete dependency basis on an axiom system that includes only one rule: attributes are increased at the left side and reduced at the right side. In this way, another irredundant and complete dependency basis is found, which is distinguished from the Guigues-Duquenne basis. This basis changes the traditional idea that there exists a sole irredundant and complete dependency basis and discloses the prospect of finding multiple kinds of irredundant and complete dependency basis for a variety of requirements.