On 4/21/21 5:37 PM, Kyle Wyonch wrote:

I was wondering if this shortening [of cnfex] was valid

Short answer is, yes it is valid.

The longer answer is that set.mm defines a function evaluated outside its domain to be the empty set which is why http://us.metamath.org/mpeuni/fvex.html does not have any conditions.

By contrast, iset.mm does not have the ability to do quite this, so instead cnfex would need to use http://us.metamath.org/ileuni/funfvex.html or one of the other alternatives under fvex at http://us.metamath.org/ileuni/mmil.html#setmm

There is some discussion of this in the "undefined results" section of http://us.metamath.org/mpeuni/conventions.html and http://us.metamath.org/ileuni/conventions.html

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