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Proof step 5 from proof add-ref (previous step)

∀ 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]

User applied rule structural induction

And obtained the following new goals

Proof step 4:
⊦ (∀ r, r0, class1, st, sk. r ≠ r0 → (addobj(r, class1, fis0, st)[r0 -- sk]) = st[r0 -- sk]) → r = r0 ∨ (addobj(r, class1, (sk × val) ' + fis0, st)[r0 -- sk0]) = st[r0 -- sk0]

Rule argument

[VARWITHFMAVARSARG : fv, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : fieldvalue generated by ×;])]]