Taking a look at how subgroups are defined in set.mm (and submonoids, and I 
presume other sub-structures), I was surprised by what I found.  It seems 
to be a mapping from a group to a (not necessarily proper) subset of the 
elements of the group.  My (possibly naive) expectation was for SubGrp to 
be a relation on groups so that "A SubGrp B" means that A is a subgroup of 
B.

Is there a particular advantage to this definition?

Aside: I'm looking at this from the perspective of (hopefully) introducing 
the concept of Simple Groups to set.mm soon.

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