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Proof step 10 from proof update-put (previous step)

⊦ r = r0, (update(r0, fis, st)[r -- sk, val]) = update(r0, fis, st[r -- sk, val])

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ update(r, [], st) = st
Proof step 9:
∀ r, r0, st, sk, val. r = r0 ∨ (update(r0, fis0, st)[r -- sk, val]) = update(r0, fis0, st[r -- sk, val]) ⊦ r = r0, (update(r0, fv + fis0, st)[r -- sk, val]) = update(r0, fv + fis0, st[r -- sk, val])

Rule argument

[VARWITHVARSEQSARG : fis, ()]

Additional information

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