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Proof step 3 from proof add-out-02 (previous step)

⊦ r = jvmref, addobj(r, class1, fis, st[jvmref -- mkfs(`java.lang.Object' .class, void_type, `out' .field) ', val]) = (addobj(r, class1, fis, st)[jvmref -- mkfs(`java.lang.Object' .class, void_type, `out' .field) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ r ≠ r0 → (addobj(r, class1, fis, st)[r0 -- sk, val]) = addobj(r, class1, fis, st[r0 -- sk, val])

Rule argument

[crewrite-arg: ao-put , F , [val, sk, r0, st, fis, class1, r] → [val, mkfs(`java.lang.Object' .class, void_type, `out' .field) ', jvmref, st, fis, class1, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, mkfs (`java.lang.Object' .class, void_type, `out' .field) ', jvmref, st, fis, class1, r)]]