On Sunday, October 6, 2019 at 12:50:37 AM UTC+2, Mario Carneiro wrote:
>
> It can also be used together with bitwise type logical operations, such as 
> df-cad and df-had.
>

To give an example, I added http://us.metamath.org/mpeuni/bj-cadif.html
  bj-cadif    |- (cadd ( ph , ps , ch ) <-> if- ( ch , ( ph \/ ps ) , ( ph 
/\ ps ) ) )
which groups cad0 and cad1.
 

> I think that if df-ifp exists, it is a given that df-if will be rewritten 
> in terms of it. It would be totally in keeping with other similar 
> definitions that define a class operation in terms of the logical analogue, 
> e.g. df-un, df-in, df-v etc. (Actually df-v is an exception; it should 
> probably read { x | T. } and I guess the use of x = x is a historical 
> accident?)
>

I added http://us.metamath.org/mpeuni/bj-df-v.html (and also bj-df-nul and 
bj-nul).

BenoƮt 

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