> Occasionally I see people here spending effort on making Metamath proofs 
as short as possible.  And every time I wonder, Why?

Because it is fun. 

Because it helps me understand the overall structure of a topic better, 
when I do proofs myself.

Because usually not only a particular proof becomes more readable, but 
surrounding proofs
as well. This is because a shortening is sometimes possible only, when 
proofs are reordered.
In effect, theorems become layered, the more basic ones bubbling up to 
early positions.
This rearrangement is in itself helpful for understanding.

This is perhaps not the ordinary case, but I have cut down several proofs 
roughly into half,
sometimes even less, starting from 50 essential steps or so. The result is 
way more readable
than the origin, I believe.

Wolf Lammen

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