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Proof step 8 from proof hasSharing-array-forward (previous step)

st[r0 -- sks] = refval(r1), st[r -- i '] = refval(r0), st[r0 -- sks0] = refval(r1), fits(r0, sks0, st), fits(r0, sks, st), i < st[r -- _length] .intval, is_arraytype(st[r -- _type] .type), 0 ≤ i, 0 < st[r -- _length] .intval ⊦ sks = [], r = jvmref, r1 = jvmref, sks0 = sks, sks0 = [], fits(r, i ' ' + sks0, st) ∧ r ≠ jvmref ∧ is_referencevalue(st[r -- i ']) ∧ (is_classtype(st[r -- _type] .type) → i ' ∈ instfields(st[r -- _type] .type .class)) ∧ (is_arraytype(st[r -- _type] .type) → is_indexkey(i ') ∧ 0 ≤ i ' .index ∧ i ' .index < st[r -- _length] .intval) ∧ fits(st[r -- i '] .refval, sks, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
st[r0 -- sks0] = refval(r1), st[r -- i '] = refval(r0), st[r0 -- sks] = refval(r1), 0 < st[r -- _length] .intval, 0 ≤ i, is_arraytype(st[r -- _type] .type), i < st[r -- _length] .intval, fits(r0, sks, st), fits(r0, sks0, st) ⊦ sks0 = [], sks0 = sks, r1 = jvmref, r = jvmref, sks = [], fits(r, i ' ' + sks0, 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], [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)])]]