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Proof step 16 from proof add-gins (conclusion)

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

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 2:
⊦ addobj(r, class1, (sk × val) ', st) = (addobj(r, class1, [], st)[r -- sk, val])
Proof step 15:
∀ r, class1, st, sk, val. (addobj(r, class1, fis0, st)[r -- sk, val]) = addobj(r, class1, fis0[sk, val], st) ⊦ (addobj(r, class1, fv + fis0, st)[r -- sk, val]) = addobj(r, class1, (fv + fis0)[sk, val], st)

Rule argument

[VARWITHVARSEQSARG : fis, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : fieldinits generated by [], +;], [CSIMPSEQ : ⊦ [][sk, val] = (sk × val) '])]]