(sorry. I just sent the previous email by mistake, here is the complete
version)
Dear all,

I wonder if there is better way to handle proofs like (((A==>B)==> C)==>
D)==> E (in top-down proofs, I also wonder how I should do it in bottom up
proofs),

After doing a UNDISCH, all the A...D will go to the hypothesis part. I
understand that in natural deduction, we don't do much on the hypothesis
side. So apart from doing MP to get:

K ==> (((A==>B)==> C)==> D)==> E       K
---------------------------------------------------------- MP
            (((A==>B)==> C)==> D)==> E

and EQ_MP (which is similar as above), what else could I do to make a less
painful proof?

Sorry again for sending the previous email a few sec ago unexpectedly.
Thanks very much.
-- 

Regards,
Robert White <http://www.dptinfo.ens-cachan.fr/~swang/>(Shuai Wang)
INRIA Deducteam <https://www.rocq.inria.fr/deducteam/>
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