A more thorough explanation:

Term: SUB CONDITIONE
Definition:sub conditione (pronounced "suhb kuhn-dish-ee-oh-nee") is a Latin phrase that means "under condition." It is often used in legal or religious contexts to indicate that something is being done with a certain condition or requirement in mind.
Example: The priest agreed to baptize the baby sub conditione because there was some doubt about whether the previous baptism had been performed correctly.
Explanation: In this example, the phrase sub conditione is used to indicate that the baptism is being performed with the condition that the previous baptism may not have been valid. The priest is essentially saying that he is performing the baptism, but only if the previous one didn't count. This is a common use of the phrase in religious contexts, where there may be questions or doubts about previous sacraments or rituals.