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Proof step 4 from proof addobj-subset (previous step)

newref(r, st), r0 -- sk ∈ st, r0 ∈ st ⊦ r = jvmref, r0 -- sk ∈ addobj(r, class, instfields(class), st) ∧ st[r0 -- sk] = (addobj(r, class, instfields(class), st)[r0 -- sk])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ r ≠ r0 → (r -- sk ∈ addobj(r0, class, sks, st) ↔ r -- sk ∈ st)
Proof step 3:
⊦ r ≠ r0 → (addobj(r0, class, sks, st)[r -- sk]) = st[r -- sk]

Rule argument

[crewrite-arg: addobj-in , F , [st, sks, class, r0, sk, r] → [st, instfields(class), class, r, sk, r0] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ∈ st → ¬ newref(r, st)])], [EXTRATERMS : (st, instfields(class), class, r, sk, r0)]]