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Proof step 28 from proof isarray-put-array-badindex (previous step)

st[r0 -- _length] = intval(i0), st[r0 -- _type] = typeval(mkarraytype(ty)), r0 ∈ st, r0 -- _type ∈ st, i < 0, 0 ≤ i0, is_arrayref(r0, i0, st), r0 -- _length ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st[r0 -- j '], ty) ⊦ ∀ j. 0 ≤ j ∧ j < i0 → r0 -- j ' ∈ st[r -- i ', val], r0 = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
st[r0 -- _type] = typeval(mkarraytype(ty)), st[r0 -- _length] = intval(i0), 0 < i0, 0 ≤ j, r0 -- _length ∈ st, is_arrayref(r0, i0, st), 0 ≤ i0, i < 0, r0 -- _type ∈ st, r0 ∈ st, j < i0, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st[r0 -- j '], ty) ⊦ j = i, r0 = jvmref, r0 -- j ' ∈ st

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : int-abs, , zero-gels-01, ⊦ i < 0 ∧ 0 ≤ j → i < j], [CSIMPNAMEDFORWARD : int-abs, , forward-le-01, ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPNAMEDFORWARD : int-abs, , forward-le-05, ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPNAMEDFORWARD : int-abs, , forward-lsle, ⊦ i < j ∧ j ≤ j0 → i < j0], [CSIMPNAMEDSEQ : int-abs, , lels-04, ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPNAMEDSEQ : storekey, , inj-04, ⊦ i ' = i0 ' ↔ i = i0], [CSIMPNAMEDSEQ : refkey, , inj-01, ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPNAMEDSEQ : store, javastore, In-insert, ⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st])]]