Hi Bill,

>I think miz3 is much less powerful than HOL Light is generally.

Sorry to disagree, but this seems wrong to me.  This is
only true if you don't put tactics in the justifications.
I especially allow _arbitrary_ HOL Light tactics there for
exactly this reason: so miz3 would be just as "powerful"
as "HOL Light generally".

In fact, the miz3_of_hol code can automatically convert
arbitrary HOL Light tactic scripts to miz3 proofs.
(Actually the parser in the current code can only handle
John's tactic script conventions, but the _approach_ can
handle _any_ HOL Light tactic script.)

And even without explicit tactics I think you can prove
_any_ theorem of the HOL Light logic with a sufficiently
detailed miz3 proof.  The ten inference rules of the HOL
Light logic certainly seem within the power of miz3's "by",
bad as it is :-)

Freek

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