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Proof step 31 from proof disjoint-forward-array (previous step)

st[r1 -- i '] = refval(r2), st[r1 -- _type] .type = mkarraytype(ty), r3 ∈ refs, 0 < st[r1 -- _length] .intval, 0 ≤ i, i < st[r1 -- _length] .intval, r1 ∈ refs, r ∈ refs, path∃(str, r2, r0, st), path∃(str, r3, r0, st), is_array(str, r1, st), ∀ r4, r5, r6. ¬ r4 ∈ refs ∨ ¬ r5 ∈ refs ∨ r4 = r5 ∨ r6 = jvmref ∨ ¬ path∃(str, r4, r6, st) ∨ ¬ path∃(str, r5, r6, st) ⊦ r1 = r0, r3 = r1, r3 = r2, r0 = jvmref, r = r1, r1 = jvmref, r2 ∈ refs -l r1, r2 ∈ refs, junkref(str, r1, st), ∃ i0. ¬ i0 < 0 ∧ ¬ st[r1 -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r1 -- i0 ']) ∧ st[r1 -- i0 '] .refval ≠ jvmref ∧ st[st[r1 -- i0 '] .refval -- _type] .type ≤ ty ∧ path∃(str, st[r1 -- i0 '] .refval, r0, st)

User applied rule exists right

And obtained the following new goals

Proof step 30:
st[r1 -- i '] = refval(r2), st[r1 -- _type] .type = mkarraytype(ty), r3 ∈ refs, 0 < st[r1 -- _length] .intval, 0 ≤ i, i < st[r1 -- _length] .intval, r1 ∈ refs, r ∈ refs, path∃(str, r2, r0, st), path∃(str, r3, r0, st), is_array(str, r1, st), ∀ r4, r5, r6. ¬ r4 ∈ refs ∨ ¬ r5 ∈ refs ∨ r4 = r5 ∨ r6 = jvmref ∨ ¬ path∃(str, r4, r6, st) ∨ ¬ path∃(str, r5, r6, st) ⊦ r1 = r0, r3 = r1, r3 = r2, r0 = jvmref, r = r1, r1 = jvmref, r2 ∈ refs -l r1, r2 ∈ refs, junkref(str, r1, st), ¬ i < 0 ∧ ¬ st[r1 -- _length] .intval ≤ i ∧ is_referencevalue(st[r1 -- i ']) ∧ st[r1 -- i '] .refval ≠ jvmref ∧ st[st[r1 -- i '] .refval -- _type] .type ≤ ty ∧ path∃(str, st[r1 -- i '] .refval, r0, st)

Rule argument

[EXRARG : pos: right 10, [extquanttermlist: (i)abort:F, discard:T, computed:T]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (i)]]