> Therefore, I still would propose to recommend to use the form $e |- ( ( ph /\ 
> x = ... ) -> ... ) $. in deduction style.

I agree. Plus, this is more systematic hence easier to remember. 

> Already existing theorems need not to be rewritten

They need not but they could !

> (by the way, many of them have no "d" at the end..).  

Since deduction form is the default for more advanced theorems, this makes 
sense. 

BenoƮt

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