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Proof step 44 from proof validrefs-lastelem (previous step)

st[r0 -- mkfs(class0, ty1, fieldvar0) '] = refval(r1), st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), st[r1 -- i '] = refval(r2), validrefs(str, r2 ' + refs, st[r1 -- _type] .type .type, st), i < st[r1 -- _length] .intval, st[r1 -- _type] .type ≤ ty1, st[r1 -- _type] .type ≤ ty0, mkfs(class0, ty1, fieldvar0) ' ∈ instfields(st[r0 -- _type] .type .class), validrefs(str, r1 ' + (r2 ' + refs) + r ', ty0, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), is_array(str, r1, st), 0 < st[r1 -- _length] .intval, 0 ≤ i ⊦ r1 = jvmref, r0 = jvmref, has_reffield((r2 ' + refs) .last, st), ∃ i0. ¬ i0 < 0 ∧ ¬ st[r1 -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r1 -- i0 ']) ∧ r2 = st[r1 -- i0 '] .refval

User applied rule exists right

And closed the goal!

Rule argument

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

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)]]