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Proof step 6 from proof in-init-04 (previous step)

r -- _type ∈ addarray(r0, vals, j, st), r ∈ addarray(r0, vals, j, st) ⊦ r -- _type ∈ st

User applied rule structural induction

And obtained the following new goals

Proof step 2:
⊦ addarray(r, [], i, st) = st
Proof step 5:
∀ r, r0, j, st. r -- _type ∈ addarray(r0, vals0, j, st) ∧ r ∈ addarray(r0, vals0, j, st) → r -- _type ∈ st, r -- _type ∈ addarray(r0, val + vals0, j, st), r ∈ addarray(r0, val + vals0, j, st) ⊦ r -- _type ∈ st

Rule argument

[VARWITHVARSEQSARG : vals, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : javavalues generated by [], +;], [CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st])]]