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Proof step 10 from proof add-update-same (previous step)

⊦ update(r, fis, st[r -- _type, typeval(mkclasstype(class))]) = addobj(r, class, fis, st)

User applied rule structural induction

And obtained the following new goals

Proof step 2:
⊦ addobj(r, class1, [], st) = st[r -- _type, typeval(mkclasstype(class1))]
Proof step 9:
∀ r, st, class. update(r, fis0, st[r -- _type, typeval(mkclasstype(class))]) = addobj(r, class, fis0, st) ⊦ update(r, fv + fis0, st[r -- _type, typeval(mkclasstype(class))]) = addobj(r, class, fv + fis0, st)

Rule argument

[VARWITHVARSEQSARG : fis, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : fieldinits generated by [], +;], [CSIMPSEQ : ⊦ update(r, [], st) = st])]]