Re: [Metamath] On Megill's completeness theorem

2021-03-20 Thread Norman Megill
I will probably add a check to metamath.exe in "verify markup" to issue a warning if a $d statement has multiple wff and/or class variables (along with a qualifier to skip that check if it isn't desired for some reason). We probably don't want to have "verify proof" (or the initial syntax

[Metamath] On Megill's completeness theorem

2021-03-20 Thread Benoit
Hi all, I wanted to share a simple remark, which is probably known to some. Megill's completeness theorem [Megill, Thm. 9.7] proves that all true schemes with DV conditions of the form DV(x,y) and DV(x,ph) are provable from ax-mp, ax-gen, ax-1--13. One can ask about schemes with DV conditions