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Proof step 48 from proof junkrefs-subset (previous step)

st1[r -- i '] = refval(r0), junkrefs(str, r0 ' + refs, st1[r -- _type] .type .type, st1), i < st1[r -- _length] .intval, is_array(str, r, st), st1[r -- _type] .type ≤ ty, 0 < st1[r -- _length] .intval, 0 ≤ i, st[r -- _type] .type ≤ ty, st ⊆ st1, ∀ str0, ty0, st0, st2. junkrefs(str0, r0 ' + refs, ty0, st0) ∧ st2 ⊆ st0 → junkrefs(str0, r0 ' + refs, ty0, st2) ⊦ r = jvmref, ∃ i0. ¬ i0 < 0 ∧ ¬ st[r -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r -- i0 ']) ∧ r0 = st[r -- i0 '] .refval ∧ junkrefs(str, st[r -- i0 '] .refval ' + refs, st[r -- _type] .type .type, st)

User applied rule exists right

And obtained the following new goals

Proof step 47:
st1[r -- i '] = refval(r0), junkrefs(str, r0 ' + refs, st1[r -- _type] .type .type, st1), i < st1[r -- _length] .intval, is_array(str, r, st), st1[r -- _type] .type ≤ ty, 0 < st1[r -- _length] .intval, 0 ≤ i, st[r -- _type] .type ≤ ty, st ⊆ st1, ∀ str0, ty0, st0, st2. junkrefs(str0, r0 ' + refs, ty0, st0) ∧ st2 ⊆ st0 → junkrefs(str0, r0 ' + refs, ty0, st2) ⊦ r = jvmref, ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i ∧ is_referencevalue(st[r -- i ']) ∧ r0 = st[r -- i '] .refval ∧ junkrefs(str, st[r -- i '] .refval ' + refs, st[r -- _type] .type .type, st)

Rule argument

[EXRARG : pos: right 2, [extquanttermlist: (i)abort:F, discard:T, computed:F]]

Additional information

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