That argument is a double-edged sword. And there is evidence sufficient for a formal investigation.
Yes it is, you wife-beater.
And there is evidence sufficient for a formal investigation.
There's no more evidence than what I just provided for evidence of your domestic abuse.
But per your standard of evidence, you can expect the local police to arrive shortly and take you into custody.
Are you starting to get the picture? Or do you still have your head in that dark place?