The phrase "with result that" is commonly used to indicate a cause-and-effect relationship between two actions or events. However, there are a variety of synonyms that can also be used to convey the same meaning. "As a consequence," "therefore," and "thus" are all commonly used to indicate a cause-and-effect relationship. "In light of," "considering," and "due to" are additional phrases that can be used to indicate cause and effect. Depending on the context, other phrases such as "resulting in," "leading to," and "causing" can also be used to convey the same meaning. Overall, there are many ways to express a cause-and-effect relationship in writing or speech.