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Proof step 5 from proof hasSharing-dups-array (previous step)

st[r -- j '] = refval(r0), st[r -- i '] = refval(r0), i < st[r -- _length] .intval, j < st[r -- _length] .intval, is_arraytype(st[r -- _type] .type), 0 ≤ i, 0 ≤ j, 0 < st[r -- _length] .intval ⊦ r0 = jvmref, i = j, r = jvmref, fits(r, i ' ', st) ∧ r ≠ jvmref ∧ is_referencevalue(st[r -- j ']) ∧ (is_classtype(st[r -- _type] .type) → j ' ∈ instfields(st[r -- _type] .type .class)) ∧ (is_arraytype(st[r -- _type] .type) → is_indexkey(j ') ∧ 0 ≤ j ' .index ∧ j ' .index < st[r -- _length] .intval)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
st[r -- i '] = refval(r0), st[r -- j '] = refval(r0), 0 < st[r -- _length] .intval, 0 ≤ j, 0 ≤ i, is_arraytype(st[r -- _type] .type), j < st[r -- _length] .intval, i < st[r -- _length] .intval ⊦ r = jvmref, i = j, r0 = jvmref, fits(r, i ' ', st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i ' .index = i], [CSIMPSEQ : ⊦ is_indexkey(i ')], [CSIMPSEQ : ⊦ is_arraytype(ty) → ¬ is_classtype(ty)])]]