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Proof step 11 from proof put-last-rec (previous step)

⊦ sks = [], st[r -- (sks + sk '), val] = st[st[r -- sks] .refval -- sk, val]

User applied rule structural induction

And obtained the following new goals

Proof step 10:
∀ st, r, sk, val. sks0 = [] ∨ st[r -- (sks0 + sk '), val] = st[st[r -- sks0] .refval -- sk, val] ⊦ sk0 + sks0 = [], st[r -- ((sk0 + sks0) + sk '), val] = st[st[r -- (sk0 + sks0)] .refval -- sk, val]

Rule argument

[VARWITHVARSEQSARG : sks, ()]

Additional information

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