"of my argument" is a grammatically correct phrase.
You can use it in any written English context in which it is relevant. For example, "I have provided ample evidence in support of my argument."
One might be suspicious of my argument against moral relativism.
And that was the burden of my argument.
And that is the essence of my argument.
That said, I should cut quickly to the weak underbelly of my argument.
I speak to Natasha again now and ask her what she thought of my argument.
"That wasn't the part of my argument you were supposed to disagree with".
ALFRED: Probl'y, but I'm a say no for the purpose of my argument.
No one will bother, and in any case all will be read in the context of my argument.
The Iraq war was wrong and it is no part of my argument that the past can be brushed aside.
Yes but the thrust of my argument is not that we have a device that has constant conversation on it.
I would, however, have expected something more or better from him than a caricature of my argument.
