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Proof step 15 from proof subset-putarray-addarray-newref (previous step)

rk ∈ st, newref(r, st) ⊦ r = jvmref, st[rk] = (putArray(vals0, r, i, addarray(r, ty, vals, st))[rk])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ ¬ rk ∈ st → st[rk] = ∅[rk]
Proof step 13:
¬ ¬ rk ∈ putArray(vals0, r, i, addarray(r, ty, vals, st)), rk ∈ st, newref(r, st) ⊦ r = jvmref, st[rk] = (putArray(vals0, r, i, addarray(r, ty, vals, st))[rk])
Proof step 14:
⊦ rk ∈ st → rk ∈ addarray(r, ty, vals, st)

Rule argument

[speclemmaarg: ,¬ rk ∈ st → st[rk] = ∅[rk] ,[rk, st] → [rk, putArray(vals0, r, i, addarray(r, ty, vals, st))] ,F ,store ,javastore ,notmemlookup ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ∅[rk] = noval], [CSIMPSEQ : ⊦ rk ∈ putArray(vals, r, i, st) ↔ rk ∈ st ∨ rk .ref = r ∧ is_indexkey(rk .key) ∧ i ≤ rk .key .index ∧ rk .key .index < i + n→i(# vals)])], [EXTRATERMS : (rk, putArray(vals0, r, i, addarray(r, ty, vals, st)))]]