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Proof step 8 from proof shift-1init-01 (previous step)

⊦ r = r0, (addarray(r, vals, j, st)[r0 -- sk, val]) = addarray(r, vals, j, st[r0 -- sk, val])

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ addarray(r, [], i, st) = st
Proof step 7:
∀ r, r0, j, st, sk, val. r = r0 ∨ (addarray(r, vals0, j, st)[r0 -- sk, val]) = addarray(r, vals0, j, st[r0 -- sk, val]) ⊦ r = r0, (addarray(r, val0 + vals0, j, st)[r0 -- sk, val]) = addarray(r, val0 + vals0, j, st[r0 -- sk, val])

Rule argument

[VARWITHVARSEQSARG : vals, ()]

Additional information

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