The phrase "hadst bearing on" is often used to indicate a connection or relevance between two things. Synonyms for this phrase might include "impacted," "influenced," "related to," "connected with," "pertinent," or "relevant." Other similar phrases could be "directly affected," "had an impact on," "had significance for," or "had relevance to." The use of these synonyms can add variety to writing and allow for greater clarity and precision in conveying the relationship between two subjects. Understanding and utilizing synonyms such as these can elevate the quality of writing and allow for more precise and effective communication.