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Proof step 2 from proof addobj-out-put (previous step)

⊦ r = jvmref, (addobj(r, class, fis, st)[_out, val][r -- sk, val0]) = (addobj(r, class, fis, st)[r -- sk, val0][_out, val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ rk ≠ rk0 → (st[rk0, val][rk, val0]) = (st[rk, val0][rk0, val])

Rule argument

[speclemmaarg: ,rk ≠ rk0 → (st[rk0, val][rk, val0]) = (st[rk, val0][rk0, val]) ,[val0, rk, val, rk0, st] → [val0, r -- sk, val, _out, addobj(r, class, fis, st)] ,F ,store ,javastore ,rew ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ jvmref → r -- sk ≠ _out])], [EXTRATERMS : (val0, r -- sk, val, _out, addobj(r, class, fis, st))]]