I was wondering if the symbol $\not\sim$ (i.e., not tilde) could be used to express that a random variable $X$ is not distributed as a normal distribution with a mean of $0$ and variance of $1$. For instance, is this appropriate: $$X\not\sim N(0,1)$$
Or is it more common to say: $$X \text{ is not } X\sim N(0,1)$$
I need a way to express it in a symbolic form to be as succinct as possible. Any help would be greatly appreciated.