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Proof step 14 from proof at-put-same (previous step)

⊦ sks = [], (st[r -- sks, val][r -- sks]) = val, dups(sks)

User applied rule structural induction

And obtained the following new goals

Proof step 13:
∀ st, r, val. sks0 = [] ∨ (st[r -- sks0, val][r -- sks0]) = val ∨ dups(sks0) ⊦ sk + sks0 = [], (st[r -- (sk + sks0), val][r -- (sk + sks0)]) = val, dups(sk + sks0)

Rule argument

[VARWITHVARSEQSARG : sks, ()]

Additional information

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