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Proof step 5 from proof add-initdone-01 (previous step)

initdone(class, addobj(r, class0, fis, st[jvmref -- mkfs(class, void_type, `initstate' .field) ', initval(error)])) ⊦ mkfs(class, void_type, `initstate' .field) ' ∈ fis

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ r ≠ r0 → (addobj(r, class1, fis, st)[r0 -- sk, val]) = addobj(r, class1, fis, st[r0 -- sk, val])
Proof step 4:
¬ r ≠ jvmref, initdone(class, addobj(r, class0, fis, st[jvmref -- mkfs(class, void_type, `initstate' .field) ', initval(error)])) ⊦ mkfs(class, void_type, `initstate' .field) ' ∈ fis

Rule argument

[crewrite-arg: ao-put , T , [val, sk, r0, st, fis, class1, r] → [initval(error), mkfs(class, void_type, `initstate' .field) ', jvmref, st, fis, class0, r] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ initdone (class1, st[ jvmref -- mkfs (class1, void_type, `initstate' .field) ', val]) ↔ val ≠ initval(error) ∧ val ≠ initval(undone)])], [EXTRATERMS : (initval(error), mkfs(class, void_type, `initstate' .field) ', jvmref, st, fis, class0, r)]]