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Proof step 29 from proof ac-lookup-05 (previous step)

is_indexkey(sk) ⊦ (addclass(class, fis, st)[r -- sk]) = st[r -- sk]

User applied rule structural induction

And obtained the following new goals

Proof step 3:
is_indexkey(sk) ⊦ (addclass(class, [], st)[r -- sk]) = st[r -- sk]
Proof step 28:
∀ sk, class, st, r. is_indexkey(sk) → (addclass(class, fis0, st)[r -- sk]) = st[r -- sk], is_indexkey(sk) ⊦ (addclass(class, fv + fis0, st)[r -- sk]) = st[r -- sk]

Rule argument

[VARWITHVARSEQSARG : fis, ()]

Additional information

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