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Proof step 4 from proof add-out-02 (previous step)

⊦ r = jvmref, addobj(r, class1, fis, st[_out, val]) = (addobj(r, class1, fis, st)[_out, val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ _out = jvmref -- mkfs(`java.lang.Object' .class, void_type, `out' .field) '
Proof step 3:
⊦ 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])

Rule argument

[speclemmaarg: , _out = jvmref -- mkfs(`java.lang.Object' .class, void_type, `out' .field) ' ,[] → [] ,F ,specialkeys , ,out ]

Additional information

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