Here is a question prompted by my remark in 
https://groups.google.com/d/msg/metamath/Nvh_ue-PSBM/Nj-XpBvBAAAJ
  "there is some gymnastic to do to put things in the right "slot", which 
looks painful..."

I see in ~df-cat that if c is a category, then ( Base " c ) is actually the 
set of objects of c while the set of morphisms is denoted ( Hom " c ).  It 
looks a bit strange, and it would be more natural  in my opinion to take 
the set of morphisms as the base set, while having a slot ( Obj " c ) for 
the set of objects of c.  Is there a particular reason for choosing the 
current convention ?  Would it be possible to change it to the proposed 
one, or would it be too much work ?

BenoƮt

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