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Proof step 41 from proof isarray-put-array-badindex (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 40:
st[r0 -- _type] = typeval(mkarraytype(ty)), st[r0 -- _length] = intval(i0), 0 ≤ i0, i < 0, r0 -- _type ∈ st, r0 ∈ st ⊦ r0 = jvmref, r0 -- _length ∈ st[r -- i ', val] ∧ is_arrayref(r0, i0, st[r -- i ', val]) ∧ (∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st[r -- i ', val][r0 -- j '], ty)) ↔ okreftype(refval(r0), mkarraytype(ty), st) ∧ r0 -- _length ∈ st ∧ is_arrayref(r0, i0, st) ∧ (∀ j. 0 ≤ j ∧ j < i0 → okval(st[r0 -- j '], ty))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javavalue, , test-25, ⊦ is_integervalue(intval(i))], [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-lsle, ⊦ i < j ∧ j ≤ j0 → i < j0])]]