Discussion page of Hakumen

So I was checking out Hakumen’s page and found that it says he used the Time Killer on Izanami. The problem is I checked the part of Chronophantasma that was cited and I could not find any proof that he used it. All Izanami says is “ The blade that can kill time... But how unfortunate. My time ended long ago...” but that isn’t an indication that Time Killer was used. For all we know, she could just be referring to how Ookami can cut through time.