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Proof step 48 from proof putarray-addarray-one (previous step)

r0 -- sk ∈ addarray(r0, ty, n→i(# vals) + 1, st) ↔ r0 -- sk ∈ addarray(r0, ty, refval(jvmref) ' + vals, st), is_reftype(ty), is_fskey(sk) ⊦ sk = _type, sk = _length, st[r0 -- sk] = (addarray(r0, ty, refval(jvmref) ' + vals, st)[r0 -- sk])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 47:
⊦ is_fskey(sk) ∧ sk ≠ _length ∧ sk ≠ _type → (addarray(r, ty, vals, st)[r0 -- sk]) = st[r0 -- sk]

Rule argument

[crewrite-arg: add-at-04 , F , [sk, r0, st, vals, ty, r] → [sk, r0, st, refval(jvmref) ' + vals, ty, r0] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)], [CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ is_fskey(sk)], [CSIMPSEQ : ⊦ ¬ rk ∈ st → st[rk] = ∅[rk]], [CSIMPSEQ : ⊦ ∅[rk] = noval])], [EXTRATERMS : (sk, r0, st, refval(jvmref) ' + vals, ty, r0)]]