I want to suggest to provide a special symbol ` 0o `for the ordinal number 
0, which actually is the empty set `(/) `, see ~0elon and df-1o. It would 
be just a synonym for ` (/) `:

` df-0o $a |- 0o = (/) $. ` 

With such a symbol, the theorems in the context of ordinal numbers can be 
written in a more intuitive way. For example

` map0e $p |- ( A e. V -> ( A ^m (/) ) = 1o )`

could be written as

map0e $p |- ( A e. V -> ( A ^m 0o ) = 1o ) 

Was this already proposed/discussed before? What do others think about it?

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