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Proof step 34 from proof okarray-substore (previous step)

st[r -- _type] = typeval(mkarraytype(ty0)), st0[r -- _type] = typeval(mkarraytype(ty0)), st[r -- _length] = intval(i), r ∈ st0, r -- _type ∈ st0, r ∈ st, 0 ≤ i, r -- _length ∈ st, ty0 ≤ ty, r -- _type ∈ st, is_arrayref(r, i, st), ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st[r -- j '], ty, st), r -- _length ∈ st → r -- _length ∈ st0 ∧ st[r -- _length] = st0[r -- _length], ∀ rk. rk ∈ st → rk ∈ st0 ∧ st[rk] = st0[rk] ⊦ r = jvmref, (0 ≤ j ∧ j < i → oktype(st0[r -- j '], ty, st0)) ∧ is_arrayref(r, i, st0) ∧ st0[r -- _length] = intval(i) ∧ r -- _length ∈ st0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
st[r -- _length] = intval(i), st0[r -- _length] = intval(i), st0[r -- _type] = typeval(mkarraytype(ty0)), st[r -- _type] = typeval(mkarraytype(ty0)), r -- _length ∈ st0, is_arrayref(r, i, st), r -- _type ∈ st, ty0 ≤ ty, r -- _length ∈ st, 0 ≤ i, r ∈ st, r -- _type ∈ st0, r ∈ st0, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st[r -- j '], ty, st), ∀ rk. rk ∈ st → rk ∈ st0 ∧ st[rk] = st0[rk] ⊦ r = jvmref, (0 ≤ j ∧ j < i → oktype(st0[r -- j '], ty, st0)) ∧ is_arrayref(r, i, st0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]