The definitions were also in quotation marks at source. The way to have meaningful terms is to explain your own meaning and usage and apply understanding and nuance when reading and hearing others.
Issuing blunt corrections that are neither generically true, nor even reflective of the technical definitions with quotation marks do nothing to promote cordial discussion on this board. With regard to the Q.E.D. you will interpret that as you will, for my part my attitude when posting was more of "sigh... I wish it was not necessary" in the original context of "which had to be proven".
Thank you for taking the time to explain your perspective also.