I've generally gone with el* in my mathbox (see, eg., elno). I've seen is*
around, but I feel el* has better compatibility with el*ab*.

On Thu, Dec 2, 2021 at 2:23 PM Benoit <[email protected]> wrote:

> Many theorems in set.mm are characterizations of elements of a defined
> class.  For instance: ~isgrp , ~ istopg .  More precisely, if we have a
> definition
> df-xxx $a |- Class = { x | Phi } $.
> Then there is typically in set.mm a theorem isxxx.  If Phi(A) does not
> imply that A is a set, then there are two possible forms:
> isxxx1 $p |- ( A e. Class <-> ( A e. _V /\ Phi(A) ) )
> isxxx2 $p |- ( A e. V -> ( A e. Class <-> Phi(A) ) )
> It is easy to go back and forth (using biadan2 and baib).
> Is there a preferred form ?  Is it ok to have both in set.mm ?  It seems
> to me that isxxx1 is closer to a real characterization (while isxxx2 is a
> characterization among sets), but after a quick look, it seems that isxxx2
> is often (majoritarily?) used in set.mm, for instance by looking at the
> number of usages of elab2g versus elab4g.
>
> BenoƮt
>
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