A corollary in mathematics is a useful side-effect (with other related meanings, but as it pertains to this question, that's the relevant definition to keep in mind).
I want to use the word corollarily in a sentence to mean "in a way that results in this as a corollary of the aforementioned". As an example: This would annul the mercy towards the victim that the death penalty would corollarily extend. This would mean that the death penalty of a perpetrator causes a situation which benefits his victim in a specific way which may or may not be the original intent of the imputation of the death penalty for the given crime.
There is no such word as corollarily, at least not that I found. So my question is, what is your opinion in regards to using it that way (in either a formal or informal setting) as a coinage? I would like to hear what you think about "adverbizing" words, but specifically this one, and in this way.
If this is too confusing, the example is in reference to the situation where (specifically in a religious context) a woman's (or man's) spouse was unfaithful and will therefore be put to death because the crime of adultery is punished with the death penalty. This woman would now be allowed to marry whomever she wants and this would not be adultery on her part. In removing the death penalty she might now worry that (again, in a religious context) if she marries again, she might be guilty or adultery. So, the death penalty had the corollary effect that mercy was extended to her, allowing her to marry without this worry. Where the originally intended purpose of the death penalty isn't to allow her to marry again, but to punish the crime, but it also has this effect of mercy to the woman "as a corollary". Please, obviously do not comment on the example in this thread, as that would be way off topic. If you really want to discuss this, ask on christianity.SE or even miyodeya.SE, and link us here and we can discuss there.