If sentences of a system of logic that is meant to be homomorphic or isomorphic to a system of logic to which it is meant to map can be shown to be ambiguous, then it is fair to say that there is no provable homomorphism or isomorphism between the two systems. This is because a homomorphism or isomorphism is a function or mapping between two systems that preserves the structure of the systems, and if the sentences in the first system are ambiguous, then it is not clear how they map to the second system.

In the case where the second system is provably consistent and complete, this means that all the statements in the system can be either proven or disproven, and there are no contradictions. If the first system allows sentences of logic that are ambiguous, then it cannot be guaranteed that all of its statements can be proven or disproven, and it may contain contradictions. Therefore, it cannot be guaranteed that a homomorphism or isomorphism between the two systems exists.

This highlights the importance of ensuring that the sentences of a logic system are clear and unambiguous to facilitate mapping and interpretation.