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Proof step 23 from proof validrefs-junkrefs-append (previous step)

st[r -- i '] = refval(r0), validrefs(str, r0 ' + refs2, st[r -- _type] .type .type, st), i < st[r -- _length] .intval, st[r -- _type] .type ≤ ty, junkrefs(str, (r0 ' + refs2) .last ' + refs1, st[(r0 ' + refs2) .last -- _type] .type, st), is_array(str, r, st), 0 < st[r -- _length] .intval, 0 ≤ i, ∀ str0, ty0, st0, refs. validrefs(str0, r0 ' + refs2, ty0, st0) ∧ junkrefs(str0, (r0 ' + refs2) .last ' + refs, st0[(r0 ' + refs2) .last -- _type] .type, st0) → junkrefs(str0, (r0 ' + refs2) + refs, ty0, st0) ⊦ 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 ' + refs2) + refs1, st[r -- _type] .type .type, st)

User applied rule exists right

And obtained the following new goals

Proof step 22:
st[r -- i '] = refval(r0), validrefs(str, r0 ' + refs2, st[r -- _type] .type .type, st), i < st[r -- _length] .intval, st[r -- _type] .type ≤ ty, junkrefs(str, (r0 ' + refs2) .last ' + refs1, st[(r0 ' + refs2) .last -- _type] .type, st), is_array(str, r, st), 0 < st[r -- _length] .intval, 0 ≤ i, ∀ str0, ty0, st0, refs. validrefs(str0, r0 ' + refs2, ty0, st0) ∧ junkrefs(str0, (r0 ' + refs2) .last ' + refs, st0[(r0 ' + refs2) .last -- _type] .type, st0) → junkrefs(str0, (r0 ' + refs2) + refs, ty0, st0) ⊦ 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 ' + refs2) + refs1, st[r -- _type] .type .type, st)

Rule argument

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

Additional information

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