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Proof step 12 from proof instore-addobj-rec (previous step)

st[r -- _type] = typeval(mkclasstype(class)), r -- _type ∈ st, r ∈ st ⊦ r = r1, r = jvmref, instore(r, class, [], addobj(r1, class1, fis1, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ instore(r, class, [], st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ st[r -- _type] = typeval(mkclasstype(class))
Proof step 10:
⊦ r ≠ r0 → (r -- sk ∈ addobj(r0, class1, fis, st) ↔ r -- sk ∈ st)
Proof step 11:
⊦ r ≠ r0 → (addobj(r, class1, fis, st)[r0 -- sk]) = st[r0 -- sk]

Rule argument

[speclemmaarg: , instore(r, class, [], st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ st[r -- _type] = typeval(mkclasstype(class)) ,[st, class, r] → [addobj(r1, class1, fis1, st), class, r] ,F ,okfuns , ,instore-empty ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addobj(r1, class1, fis1, st), class, r)]]