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Proof step 3 from proof addclass-switch-01 (previous step)

⊦ r = jvmref, (st[r -- sk, val][jvmref -- mkfs(class, void_type, `initstate' .field) ', initval(done)]) = (st[jvmref -- mkfs(class, void_type, `initstate' .field) ', initval(done)][r -- sk, val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ 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] → [val, r -- sk, initval(done), jvmref -- mkfs(class, void_type, `initstate' .field) ', st] ,F ,store ,javastore ,rew ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0])], [EXTRATERMS : (val, r -- sk, initval(done), jvmref -- mkfs(class, void_type, `initstate' .field) ', st)]]