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Proof step 9 from proof addobj-at-other-03 (previous step)

⊦ sk = _type, (addobj(r, class, fis, st)[r0 -- sk]) = st[r0 -- sk], sk ∈ fis

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ addobj(r, class1, [], st) = st[r -- _type, typeval(mkclasstype(class1))]
Proof step 8:
∀ sk, r, class, st, r0. sk = _type ∨ (addobj(r, class, fis0, st)[r0 -- sk]) = st[r0 -- sk] ∨ sk ∈ fis0 ⊦ sk = _type, (addobj(r, class, fv + fis0, st)[r0 -- sk]) = st[r0 -- sk], sk ∈ fv + fis0

Rule argument

[VARWITHVARSEQSARG : fis, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : fieldinits generated by [], +;], [CSIMPSEQ : ⊦ sk ≠ sk0 → (st[r -- sk, val][r0 -- sk0]) = st[r0 -- sk0]])]]