[ProofPower] type variables in subgoal package
Philip Clayton
p.clayton at eris.qinetiq.com
Thu Sep 23 11:57:31 EDT 2004
Roger Bishop Jones wrote:
>In relation to your comments to Steve about losing
>the assumptions on things you strip into the assumptions,
>this is not correct.
>
I didn't mean losing in that sense. If you put the theorem |- A into
the assumptions of the subgoal B ?|- C you get the subgoal A, B ?|- C
--- exactly the same as if the theorem B |- A had been added to the
assumptions of B ?|- C. Clearly |- A is a stronger theorem than B |- A
but adding either to the subgoal B ?|- C has the same effect. In that
sense, some information has been lost. (In particular, the subgoal
package did not record the fact the |- A is independent of all other
assumptions, whereas B |- A is not.)
Phil
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