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Proof step 11 from proof update-union-switch (previous step)

⊦ update(r, fis, st ∪ st0) = st ∪ update(r, fis, st0), r ∈ st .refs

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ update(r, [], st) = st
Proof step 10:
∀ r, st, st0. update(r, fis0, st ∪ st0) = st ∪ update(r, fis0, st0) ∨ r ∈ st .refs ⊦ update(r, fv + fis0, st ∪ st0) = st ∪ update(r, fv + fis0, st0), r ∈ st .refs

Rule argument

[VARWITHVARSEQSARG : fis, ()]

Additional information

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