This is kind of a meta-question about another question I had. I am wondering about how to call words that express what I would call a converse relation in Mathematics.
First, a simple example: I know that “A is a consequence of B”. I could also write that “B is a cause of A” which means mostly the same. My question is therefore: what is the word cause to the word consequence? They are closely related, the Merriam-Webster thesaurus lists them in “Antonyms & Near Antonyms”, but they are not really antonyms, are they?
Now suppose that “Vaccination is mandatory to enter malls.”. I want to rewrite this sentence in terms of “Entering malls is … to vaccination”. But I don’t even know how to phrase that request. I don’t think I am looking for an antonym of mandatory.
I am looking for a way to describe the relationship between cause and consequence in the first example, or mandatory and [blank] in the second example. Is there a word for this?