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Proof step 6 from proof shift-1init (previous step)

⊦ r = r0, addarray(r, vals, 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(# vals))][r0 -- sk, val]) = addarray(r, vals, 0, st[r -- _type, typeval(mkarraytype(ty))][r0 -- sk, val][r -- _length, intval(n→i(# vals))])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ rk ≠ rk0 → (st[rk0, val][rk, val0]) = (st[rk, val0][rk0, val])

Rule argument

[speclemmaarg: ,rk ≠ rk0 → (st[rk0, val][rk, val0]) = (st[rk, val0][rk0, val]) ,[val0, rk, val, rk0, st] → [intval(n→i(# vals)), r -- _length, val, r0 -- sk, st[r -- _type, typeval(mkarraytype(ty))]] ,F ,store ,javastore ,rew ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0])], [EXTRATERMS : (intval(n→i(# vals)), r -- _length, val, r0 -- sk, st[r -- _type, typeval(mkarraytype(ty))])]]