Recently I moved the section "The ordered commutative ring of integers" in 
TA's mathbox into the main part, as section "10.11.2 Ring of integers", see 
http://us2.metamath.org:88/mpeuni/mmtheorems176.html and also Issue #866 
<https://github.com/metamath/set.mm/issues/866> at GitHub. There is, 
however, not a definition of the ring of integers yet, but it is 
represented as restriction of the field of complex numbers ( CCfld |s ZZ ) 
. Since, in my opinion, the "Ring of integers" is an important and central 
concept in mathematics, I think it deserves a particular definition.


My suggestion would be

df-rngz $a |- RingZ = ( CCfld |`s ZZ ) . 


As symbol to be used in HTML we could use ℤrng (analogously to ℂfld for 
CCfld).


Unfortunately, there is already a definition df-zrng $a |- ZRing = ... in 
Mario's Mathbox (subring of integral elements in a ring), so ZRing cannot 
be used for the "Ring of integers" (or Mario's definition must be changed). 
Alternatively, we could use ZZRing or ZZRng or ZZrng (this is closest to 
CCfld) for the "Ring of integers".


What do you think about this? Which (of the proposed) class name(s) do you 
prefer?

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