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Proof step 3 from proof addobj-keys-one (conclusion)

⊦ addobj(r, class, sk ', st) = (addobj(r, class, [], st)[r -- sk, initial_value(sk .fs .type)])

User applied rule insert lemma

And obtained the following new goals

Proof step 1:
⊦ addobj(r, class, sk ' + sks, st) = (addobj(r, class, sks, st)[r -- sk, initial_value(sk .fs .type)])
Proof step 2:
⊦ addobj(r, class, [], st) = st[r -- _type, typeval(mkclasstype(class))]

Rule argument

[LEMMAARG : addobj-keysrec, [r, class, sk, sks, st] → [r, class, sk, [], st]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sks + [] = sks], [CSIMPSEQ : ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1])], [EXTRATERMS : (r, class, sk, [], st)]]