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Proof step 8 from proof lookup-put-rkvs-notin (previous step)

⊦ (st[rkvs][rk]) = st[rk], rk ∈ rkvs

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ st[[]] = st
Proof step 7:
∀ st, rk. (st[rkvs0][rk]) = st[rk] ∨ rk ∈ rkvs0 ⊦ (st[rkv + rkvs0][rk]) = st[rk], rk ∈ rkv + rkvs0

Rule argument

[VARWITHVARSEQSARG : rkvs, ()]

Additional information

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