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Proof step 29 from proof validrefs-delcycle-01 (previous step)

(acc + r ') .first = st[r0 -- i '] .refval, is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, i < st[r0 -- _length] .intval, is_referencevalue(st[r0 -- i ']), validrefs(str, acc + r ' + refs0 + r ' + refs1, st[r0 -- _type] .type .type, st), 0 ≤ i, 0 < st[r0 -- _length] .intval, ∀ str, r, refs0, refs1, ty, st. validrefs(str, acc + r ' + refs0 + r ' + refs1, ty, st) → validrefs(str, acc + r ' + refs1, ty, st) ⊦ r0 = jvmref, ∃ i0. ¬ i0 < 0 ∧ ¬ st[r0 -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r0 -- i0 ']) ∧ (acc + r ') .first = st[r0 -- i0 '] .refval ∧ validrefs(str, acc + r ' + refs1, st[r0 -- _type] .type .type, st)

User applied rule exists right

And obtained the following new goals

Proof step 28:
(acc + r ') .first = st[r0 -- i '] .refval, is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, i < st[r0 -- _length] .intval, is_referencevalue(st[r0 -- i ']), validrefs(str, acc + r ' + refs0 + r ' + refs1, st[r0 -- _type] .type .type, st), 0 ≤ i, 0 < st[r0 -- _length] .intval, ∀ str, r, refs0, refs1, ty, st. validrefs(str, acc + r ' + refs0 + r ' + refs1, ty, st) → validrefs(str, acc + r ' + refs1, ty, st) ⊦ r0 = jvmref, ¬ i < 0 ∧ ¬ st[r0 -- _length] .intval ≤ i ∧ is_referencevalue(st[r0 -- i ']) ∧ (acc + r ') .first = st[r0 -- i '] .refval ∧ validrefs(str, acc + r ' + refs1, st[r0 -- _type] .type .type, st)

Rule argument

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

Additional information

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