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Proof step 13 from proof addobj-union (previous step)

newref(r, st), newref(r, st0) ⊦ sk = _type, (addobj(r, class, fis, st) ∪ st0)[r -- sk] = (st ∪ st0)[r -- sk], r = jvmref, sk ∈ fis

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ ¬ rk ∈ st0 → (st ∪ st0)[rk] = st[rk]
Proof step 12:
⊦ ¬ sk ∈ fis ∧ sk ≠ _type → (addobj(r, class, fis, st)[r -- sk]) = st[r -- sk]

Rule argument

[speclemmaarg: ,¬ rk ∈ st0 → (st ∪ st0)[rk] = st[rk] ,[rk, st0, st] → [r -- sk, st0, addobj(r, class, fis, st)] ,F ,storefunsx , ,union-at-left ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ rk ∈ st0 → (st ∪ st0)[rk] = st0[rk]], [CSIMPSEQ : ⊦ ¬ rk ∈ st0 → (st ∪ st0)[rk] = st[rk]])], [EXTRATERMS : (r -- sk, st0, addobj(r, class, fis, st))]]