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Proof step 5 from proof compatarray-isarray-01 (previous step)

st[r -- _length] = intval(i0), st[r -- _type] = typeval(mkarraytype(ty)), okreftype(refval(r), mkarraytype(ty), st), is_integervalue(st[r -- _length]), is_arrayref(r, i0, st), r ∈ st, r -- _length ∈ st, r -- _type ∈ st, j < i0, 0 ≤ i0, 0 ≤ j, 0 < i0, ∀ i. ¬ i < 0 ∧ ¬ i0 ≤ i → compat(str, st[r -- i '], ty, st), ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → okval(st[r -- j0 '], ty) ⊦ r = jvmref, compat(str, st[r -- j '], ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
st[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = intval(i0), 0 < i0, 0 ≤ i0, 0 ≤ j, j < i0, r -- _type ∈ st, r -- _length ∈ st, r ∈ st, is_arrayref(r, i0, st), okreftype(refval(r), mkarraytype(ty), st), ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → okval(st[r -- j0 '], ty), ∀ i. ¬ i < 0 ∧ ¬ i0 ≤ i → compat(str, st[r -- i '], ty, st) ⊦ r = jvmref, compat(str, st[r -- j '], ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_integervalue(intval(i))], [CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j])]]