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Proof step 5 from proof unchanged-lookup-generic (previous step)

sk = i0 ', st[r0 -- _type] = st0[r0 -- _type], st[r0 -- _length] = st0[r0 -- _length], is_arraytype(st0[r0 -- _type] .type), path∃(str, r, r0, st), path∃(str, r, r0, st0), is_indexkey(sk), i0 < st0[r0 -- _length] .intval, 0 ≤ i0, 0 < st0[r0 -- _length] .intval, ∀ i. ¬ i < 0 ∧ ¬ st0[r0 -- _length] .intval ≤ i → st[r0 -- i '] = st0[r0 -- i '] ⊦ r0 = jvmref, st[r0 -- sk] = st0[r0 -- sk]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
st[r0 -- _type] = st0[r0 -- _type], st[r0 -- _length] = st0[r0 -- _length], is_arraytype(st0[r0 -- _type] .type), path∃(str, r, r0, st), path∃(str, r, r0, st0), i0 < st0[r0 -- _length] .intval, 0 < st0[r0 -- _length] .intval, 0 ≤ i0, ∀ i. ¬ i < 0 ∧ ¬ st0[r0 -- _length] .intval ≤ i → st[r0 -- i '] = st0[r0 -- i '] ⊦ r0 = jvmref, st[r0 -- i0 '] = st0[r0 -- i0 ']

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDFORWARD : int-abs, , forward-le-01, ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPNAMEDSEQ : storekey, , test-08, ⊦ is_indexkey(i ')])]]