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Proof step 19 from proof unchNorec-isarray (previous step)

st[r -- _type] = typeval(mkarraytype(ty)), st0[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = intval(i0), st0[r -- _length] = intval(i0), j < i0, 0 ≤ i0, r -- _length ∈ st0, r ∈ st, r -- _length ∈ st, ∀ j. 0 ≤ j ∧ j < i0 → r -- j ' ∈ st, r -- _type ∈ st, unchangedNorec(r, st, st0), r -- _type ∈ st0, r ∈ st0, 0 ≤ j, 0 < i0, ∀ i. ¬ i < 0 ∧ ¬ i0 ≤ i → st[r -- i '] = st0[r -- i '], ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → okval(st[r -- j0 '], ty) ⊦ r = jvmref, r -- j ' ∈ st0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
st[r -- _type] = typeval(mkarraytype(ty)), st0[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = intval(i0), st0[r -- _length] = intval(i0), j < i0, 0 ≤ i0, r -- _length ∈ st0, r ∈ st, r -- _length ∈ st, r -- _type ∈ st, unchangedNorec(r, st, st0), r -- _type ∈ st0, r ∈ st0, 0 ≤ j, 0 < i0, ∀ i. ¬ i < 0 ∧ ¬ i0 ≤ i → st[r -- i '] = st0[r -- i '], ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → okval(st[r -- j0 '], ty), ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → r -- j0 ' ∈ st ⊦ r = jvmref, r -- j ' ∈ st0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]