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Proof step 4 from proof add-nput (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1:
⊦ addobj(r, class1, [], st) = st[r -- _type, typeval(mkclasstype(class1))]
Proof step 3:
⊦ sk = _type, (st[r -- _type, typeval(mkclasstype(class1))][r -- sk, val]) = (st[r -- sk, val][r -- _type, typeval(mkclasstype(class1))])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ sk ∈ []])]]