Hi,

suppose I have the following theorem:

th =
|- !x. P x = Q x

How can I convert it into this one?

|- !x. P x ==> Q x

As the first step, I tried "ONCE_REWRITE_RULE [EQ_IMP_THM] th", and got this:

|- !x. (P x ==> Q x) /\ (Q x ==> P x)

But then I don’t know how to benefit from AND1_THM (|- ∀t1 t2. t1 ∧ t2 ⇒ t1), 
or there’s a better method to do the whole thing?

Regards,

Chun Tian

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