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Proof step 7 from proof add-ref (conclusion)

⊦ r ≠ r0 → (addobj(r, class1, fis, st)[r0 -- sk]) = st[r0 -- sk]

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 6:
∀ r, r0, class1, st, sk. r ≠ r0 → (addobj(r, class1, fis0, st)[r0 -- sk]) = st[r0 -- sk] ⊦ r ≠ r0 → (addobj(r, class1, fv + fis0, st)[r0 -- sk]) = st[r0 -- sk]

Rule argument

[VARWITHFMAVARSARG : fis, ()]

Additional information

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