On Tuesday, May 28, 2019 at 9:25:47 PM UTC+2, Giovanni Mascellani wrote:
>
> Hi! I think there is a general trick to replace a $d x A or $d x ph$ 
> condition in a theorem with the corresponding F/_ x A or F/ x ph, but I 
> do not remember it. Can anybody help me? 
>

> (in this specific case, I would like to do that for sbcex2 and its 
> universal counterpart) 
>

Hi Giovanni.  I think that by now, most utility theorems with dv conditions 
have an analogous "nf-version" where the dv conditions are replaced with 
non-freeness $e-hypotheses.  In your example sbcex2, it looks like it is 
sufficient to replace:
exlimiv with exlimi,
exbidv with exbid,
vtoclbg with vtoclbgf.
Generally, the labels are found by adding a suffixed "f" or removing a 
suffixed "v".

I'm not sure there is a completely automatizable method to find the 
nf-proof from a dv-proof, but there are certainly recurring patterns.
 

> PS. I already asked the same question on the Metamath Gitter channel[1], 
> but I believe it is not very active at the moment! 
>
>  [1] https://gitter.im/metamath/Lobby


I did not know of this channel.  Maybe it would be nice to centralize 
discussions on this group and forget/close the other ones?
 
BenoƮt

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