Let's settle this shit once and for all

[Kernel Sohcahtoa]

The thing is that in math terms that is an operation.

NOT doing something isn't an operation.

Perhaps.  IMO, it is interesting that for any statement P, P=~  (~ P).  For any set S, S=(S^c)^c where c denotes taking the complement of a given set.  Or, for any nxm matrix A, A=(A^T)^T where T denotes taking the transpose of  a particular nxm matrix.  Thus, in each instance, using the same unary operator twice resulted in the outcome of doing nothing to the original mathematical statement or item.