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Proof step 11 from proof exactarray-08 (previous step)

st[r -- _length] = intval(i), st[r -- _type] = typeval(mkarraytype(int_type)), r -- _length ∈ st, is_arrayref(r, i, st), is_integervalue(val), r -- _type ∈ st, r ∈ st, 0 ≤ i ⊦ r = jvmref, ∀ j0. 0 ≤ j0 ∧ j0 < i → r -- j0 ' ∈ st[r0 -- j ', val]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
st[r -- _length] = intval(i), st[r -- _type] = typeval(mkarraytype(int_type)), j0 < i, r -- _length ∈ st, is_arrayref(r, i, st), is_integervalue(val), r -- _type ∈ st, r ∈ st, 0 ≤ i, 0 ≤ j0, 0 < i ⊦ r = jvmref, r -- j0 ' ∈ st, r = r0 ∧ j0 = j

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st])]]