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Proof step 12 from proof lookup-put-rkvs (previous step)

⊦ rk = rk0, (st[rk, val][rkvs][rk0]) = (st[rkvs][rk0])

User applied rule structural induction

And obtained the following new goals

Proof step 2:
⊦ st[[]] = st
Proof step 11:
∀ rk, rk0, st, val. rk = rk0 ∨ (st[rk, val][rkvs0][rk0]) = (st[rkvs0][rk0]) ⊦ rk = rk0, (st[rk, val][rkv + rkvs0][rk0]) = (st[rkv + rkvs0][rk0])

Rule argument

[VARWITHVARSEQSARG : rkvs, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : refkeyvalues generated by [], +;], [CSIMPSEQ : ⊦ rk ≠ rk0 → (st[rk0, val][rk]) = st[rk]])]]