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Proof step 12 from proof onlymod-init-02 (previous step)

st[jvmref -- mkfs(class, void_type, `initstate' .field) '] = initval(error), onlyModified(r, st, st0), jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st, jvmref ∈ st ⊦ r = jvmref, initerror(class, st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ initerror(class1, st) ↔ (jvmref -- mkfs(class1, void_type, `initstate' .field) ') × initval(error) ∈ st
Proof step 11:
st[jvmref -- mkfs(class, void_type, `initstate' .field) '] = initval(error), onlyModified(r, st, st0), jvmref -- mkfs(class, void_type, `initstate' .field) ' ∈ st, jvmref ∈ st ⊦ r = jvmref, (jvmref -- mkfs(class, void_type, `initstate' .field) ') × initval(error) ∈ st0

Rule argument

[speclemmaarg: , initerror(class1, st) ↔ (jvmref -- mkfs(class1, void_type, `initstate' .field) ') × initval(error) ∈ st ,[st, class1] → [st0, class] ,F ,storefuns , ,initerror ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0, class)]]