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Proof step 11 from proof okarray-init-basic-01 (previous step)

∀ j. 0 ≤ j ∧ j < i → oktype(st[r -- j '], ty, st), st[r -- _length] = intval(i), okreftype(refval(r), mkarraytype(ty), st), is_arrayref(r, i, st), r -- _length ∈ st, 0 ≤ i, r ∈ st ⊦ ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → oktype(st[r -- j0 '], ty, st), r = jvmref, r = r0, is_classtype(ty), is_arraytype(ty)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
st[r -- _length] = intval(i), okreftype(refval(r), mkarraytype(ty), st), is_arrayref(r, i, st), r -- _length ∈ st, 0 ≤ i, r ∈ st, j < i, 0 ≤ j, 0 < i, ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → oktype(st[r -- j0 '], ty, st) ⊦ r = jvmref, r = r0, is_classtype(ty), is_arraytype(ty), oktype(st[r -- j '], ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i ≤ j ∧ j < j0 → i < j0], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]