The phrase "hath foundation" can be synonymous with various concepts related to building or establishing something. Synonyms for "hath foundation" can include "erecting," "establishing," "constructing" or "building." Other synonyms could be "creating," "founding," "initiating," or "starting." The phrase may also be used in relation to the creation of a framework or the laying of a solid groundwork for something to be built upon. Other possible synonyms could include "laying the groundwork," "establishing a base," or "setting a strong foundation." Overall, the phrase "hath foundation" can be interchangeable with a variety of words and phrases related to beginning the process of creating or building something.