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Proof step 24 from proof isarray-put-array-badindex (previous step)

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)), st[r0 -- _type] = typeval(mkarraytype(ty)), st[r0 -- _length] = intval(i0), 0 ≤ i0, i < 0, r0 -- _type ∈ st, r0 ∈ st ⊦ 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 23:
st[r0 -- _type] = typeval(mkarraytype(ty)), st[r0 -- _length] = intval(i0), r0 -- _length ∈ st[r -- i ', val], is_arrayref(r0, i0, st[r -- i ', val]), 0 ≤ i0, i < 0, r0 -- _type ∈ st, r0 ∈ st, r0 -- _length ∈ st, r0 ∈ st[r -- i ', val], ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st[r -- i ', val][r0 -- j '], ty) ⊦ r0 = jvmref, (0 ≤ j ∧ j < i0 → okval(st[r0 -- j '], ty)) ∧ is_arrayref(r0, i0, st) ∧ okreftype(refval(r0), mkarraytype(ty), st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDFORWARD : storefuns, , instore-01, ⊦ r -- sk ∈ st → r ∈ st], [CSIMPNAMEDSEQ : javavalue, , disj-20, ⊦ intval(i) ≠ noval], [CSIMPNAMEDSEQ : storefunsx, , lookup-xtra, ⊦ ∅[rk] = noval], [CSIMPNAMEDSEQ : store, javastore, notmemlookup, ⊦ ¬ rk ∈ st → st[rk] = ∅[rk]])]]