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Proof step 4 from proof in-1init-02 (conclusion)

⊦ r ∈ addarray(r, ty0, vals, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ addarray(r, ty, vals, st) = addarray(r, vals, 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(# vals))])
Proof step 3:
⊦ r ∈ addarray(r, vals, 0, st[r -- _type, typeval(mkarraytype(ty0))][r -- _length, intval(n→i(# vals))])

Rule argument

[crewrite-arg: addarrayinit-def , F , [st, vals, ty, r] → [st, vals, ty0, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, vals, ty0, r)]]