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Proof step 76 from proof validrefs-del-junkrefs (previous step)

st[r0 -- i '] = refval(r1), is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, i < st[r0 -- _length] .intval, junkrefs(str, (r1 ' + acc) + r ', st[r0 -- _type] .type .type, st -- r), 0 ≤ i, 0 < st[r0 -- _length] .intval, ∀ st, r0, ty, str, r. st[r0 -- _type] .type ≤ ty ∧ junkrefs(str, (r0 ' + acc) + r ', ty, st -- r) → r = r0 ∨ junkref(str, r0, st) ∨ r ∈ acc ∨ validrefs(str, r0 ' + acc + r ', ty, st) ⊦ r = r0, r = r1, r0 = jvmref, junkref(str, r0, st), r ∈ acc, ¬ i < 0 ∧ ¬ st[r0 -- _length] .intval ≤ i ∧ is_referencevalue(st[r0 -- i ']) ∧ r1 = st[r0 -- i '] .refval ∧ validrefs(str, (st[r0 -- i '] .refval ' + acc) + r ', st[r0 -- _type] .type .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 75:
st[r0 -- i '] = refval(r1), 0 < st[r0 -- _length] .intval, 0 ≤ i, junkrefs(str, (r1 ' + acc) + r ', st[r0 -- _type] .type .type, st -- r), i < st[r0 -- _length] .intval, st[r0 -- _type] .type ≤ ty, is_array(str, r0, st), ∀ st, r0, ty, str, r. st[r0 -- _type] .type ≤ ty ∧ junkrefs(str, (r0 ' + acc) + r ', ty, st -- r) → r = r0 ∨ junkref(str, r0, st) ∨ r ∈ acc ∨ validrefs(str, r0 ' + acc + r ', ty, st) ⊦ r0 = jvmref, r = r1, r = r0, r ∈ acc, junkref(str, r0, st), validrefs(str, r1 ' + acc + r ', st[r0 -- _type] .type .type, st)

Rule argument

[emptyarg]

Additional information

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