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Proof step 69 from proof validrefs-junkrefs (previous step)

st[r -- i '] = refval(r2), validrefs(str, r2 ' + refs2, st[r -- _type] .type .type, st), junkrefs(str, r2 ' + refs2 + r0 ' + refs0, st[r -- _type] .type .type, st), i < st[r -- _length] .intval, is_array(str, r, st), 0 < st[r -- _length] .intval, 0 ≤ i, st[r -- _type] .type ≤ ty, ¬ is_valid_ref(str, r0, st) ∨ is_obj(refs2 .last, st) ∧ mkfs(class, ty0, fieldvar) ' ∈ instfields(st[refs2 .last -- _type] .type .class) ∧ is_referencevalue(st[refs2 .last -- mkfs(class, ty0, fieldvar) ']) ∧ r0 = st[refs2 .last -- mkfs(class, ty0, fieldvar) '] .refval ∧ ¬ st[st[refs2 .last -- mkfs(class, ty0, fieldvar) '] .refval -- _type] .type ≤ ty0 ∨ is_array(refs2 .last, st) ∧ 0 ≤ i0 ∧ i0 < st[refs2 .last -- _length] .intval ∧ is_referencevalue(st[refs2 .last -- i0 ']) ∧ r0 = st[refs2 .last -- i0 '] .refval ∧ ¬ st[st[refs2 .last -- i0 '] .refval -- _type] .type ≤ st[refs2 .last -- _type] .type .type ⊦ refs2 = [], r = jvmref, r0 = jvmref, ∃ i1. ¬ i1 < 0 ∧ ¬ st[r -- _length] .intval ≤ i1 ∧ is_referencevalue(st[r -- i1 ']) ∧ r2 = st[r -- i1 '] .refval

User applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 4, [extquanttermlist: (i)abort:F, discard:T, computed:F]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ refval(r) .refval = r])], [EXTRATERMS : (i)]]