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Proof step 106 from proof junkrefs-put-nopathexplus-equiv (previous step)

st[r -- i '] = refval(r1), junkrefs(str, r1 ' + refs1, st[r -- _type] .type .type, st), i < st[r -- _length] .intval, 0 < st[r -- _length] .intval, 0 ≤ i, is_array(str, r, st), st[r -- _type] .type ≤ ty, ∀ val, sk, r0, st0, ty, r2, str, refs. # refs < # (r1 + refs1) → (junkrefs(str, r2 ' + refs, ty, st0) → junkrefs(str, r2 ' + refs, ty, st0[r0 -- sk, val]) ∨ sk = _type ∨ path∃+(str, r2, r0, st0)) ⊦ sk = _type, r = jvmref, r = r0, path∃+(str, r, r0, st), ∃ i0. ¬ i0 < 0 ∧ ¬ st[r -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r -- i0 ']) ∧ r1 = st[r -- i0 '] .refval ∧ junkrefs(str, st[r -- i0 '] .refval ' + refs1, st[r -- _type] .type .type, st[r0 -- sk, val])

User applied rule exists right

And obtained the following new goals

Proof step 105:
st[r -- i '] = refval(r1), junkrefs(str, r1 ' + refs1, st[r -- _type] .type .type, st), i < st[r -- _length] .intval, 0 < st[r -- _length] .intval, 0 ≤ i, is_array(str, r, st), st[r -- _type] .type ≤ ty, ∀ val, sk, r0, st0, ty, r2, str, refs. # refs < # (r1 + refs1) → (junkrefs(str, r2 ' + refs, ty, st0) → junkrefs(str, r2 ' + refs, ty, st0[r0 -- sk, val]) ∨ sk = _type ∨ path∃+(str, r2, r0, st0)) ⊦ sk = _type, r = jvmref, r = r0, path∃+(str, r, r0, st), ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i ∧ is_referencevalue(st[r -- i ']) ∧ r1 = st[r -- i '] .refval ∧ junkrefs(str, st[r -- i '] .refval ' + refs1, st[r -- _type] .type .type, st[r0 -- sk, val])

Rule argument

[EXRARG : pos: right 5, [extquanttermlist: (i)abort:F, discard:T, computed:F]]

Additional information

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