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Proof step 13 from proof add-nput (previous step)

⊦ sk = _type, (addobj(r, class1, fis, st)[r -- sk, val]) = addobj(r, class1, fis, st[r -- sk, val]), sk ∈ fis

User applied rule structural induction

And obtained the following new goals

Proof step 4:
⊦ sk = _type, (addobj(r, class1, [], st)[r -- sk, val]) = addobj(r, class1, [], st[r -- sk, val]), sk ∈ []
Proof step 12:
∀ sk, r, class1, st, val. sk = _type ∨ (addobj(r, class1, fis0, st)[r -- sk, val]) = addobj(r, class1, fis0, st[r -- sk, val]) ∨ sk ∈ fis0 ⊦ sk = _type, (addobj(r, class1, fv + fis0, st)[r -- sk, val]) = addobj(r, class1, fv + fis0, st[r -- sk, val]), sk ∈ fv + fis0

Rule argument

[VARWITHVARSEQSARG : fis, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : fieldinits generated by [], +;])]]