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Proof step 3 from proof unchNorec-index (previous step)

r = jvmref ∨ r ≠ jvmref ∧ st[r -- _type] = st0[r -- _type] ∧ (is_classtype(st[r -- _type] .type) → (∀ fs. fs ' ∈ instfields(st[r -- _type] .type .class) → st[r -- fs '] = st0[r -- fs '])) ∧ ( is_arraytype(st[r -- _type] .type) → st[r -- _length] = st0[r -- _length] ∧ (∀ i. 0 ≤ i ∧ i < st[r -- _length] .intval → st[r -- i '] = st0[r -- i '])), i < st[r -- _length] .intval, is_arraytype(st[r -- _type] .type), 0 ≤ i, 0 < st[r -- _length] .intval ⊦ st[r -- i '] = st0[r -- i '], r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
st[r -- _type] = st0[r -- _type], st[r -- _length] = st0[r -- _length], i < st0[r -- _length] .intval, is_arraytype(st0[r -- _type] .type), 0 ≤ i, 0 < st0[r -- _length] .intval, ∀ i0. ¬ i0 < 0 ∧ ¬ st0[r -- _length] .intval ≤ i0 → st[r -- i0 '] = st0[r -- i0 '] ⊦ st[r -- i '] = st0[r -- i '], r = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ is_arraytype(ty) → ¬ is_classtype(ty)])]]