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Proof step 5 from proof mode-1init (conclusion)

⊦ (addarray(r, vals, j, st)[_mode]) = st[_mode]

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ addarray(r, [], i, st) = st
Proof step 4:
∀ r, j, st. (addarray(r, vals0, j, st)[_mode]) = st[_mode] ⊦ (addarray(r, val + vals0, j, st)[_mode]) = st[_mode]

Rule argument

[VARWITHVARSEQSARG : vals, ()]

Additional information

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