In mathematical/scientific texts, conditions that are true (within context) are said to
- be satisfied
(the last one was news for me)
My question is whether there is nuance in meaning among the three versions or are these completely interchangeable (within this specific meaning referring to conditions) and are meant to be frequently interchanged to avoid repetition.
I did check NGrams for relative frequencies of these, but it doesn't tell me anything about difference in meaning.