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Proof step 20 from proof lookup-statfield (previous step)

st[r -- sk0] = refval(r0), junkref(str, r0, st), fits(r0, sks0, st), is_array(str, r, st), is_arraytype(st[r -- _type] .type), is_indexkey(sk0), sk0 .index < st[r -- _length] .intval, 0 ≤ sk0 .index, 0 < st[r -- _length] .intval, ∀ r, st, sk, val, str. fits(r, sks0, st) → r = jvmref ∨ (st[jvmref -- sk, val][r -- sks0]) = st[r -- sks0] ∨ junkref(str, r, st) ⊦ sks0 = [], (st[jvmref -- sk, val][r0 -- sks0]) = st[r0 -- sks0], r = jvmref, junkref(str, r, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 19:
sk0 = i ', st[r -- sk0] = refval(r0), junkref(str, r0, st), fits(r0, sks0, st), is_array(str, r, st), is_arraytype(st[r -- _type] .type), is_indexkey(sk0), i < st[r -- _length] .intval, 0 ≤ i, 0 < st[r -- _length] .intval, ∀ r, st, sk, val, str. fits(r, sks0, st) → r = jvmref ∨ (st[jvmref -- sk, val][r -- sks0]) = st[r -- sks0] ∨ junkref(str, r, st) ⊦ sks0 = [], (st[jvmref -- sk, val][r0 -- sks0]) = st[r0 -- sks0], r = jvmref, junkref(str, r, st)

Rule argument

[speclemmaarg: ,is_indexkey(sk) → (i = sk .index ↔ sk = i ') ,[sk, i] → [sk0, i] ,T ,storekey , ,elim-04 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_indexkey(sk) → (i = sk .index ↔ sk = i ')])], [EXTRATERMS : (sk0, i)]]