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Proof step 34 from proof okarray-union-03 (previous step)

¬ (oktype(st0[r -- j '], ty, st) ∧ st ⊆ st0 ∪ st), st[r -- _type] = typeval(mkarraytype(ty0)), j < st[r -- _length] .intval, r -- _length ∈ st, r -- _type ∈ st, r ∈ st, ty0 ≤ ty, is_arrayref(r, st[r -- _length] .intval, st), 0 ≤ st[r -- _length] .intval, 0 ≤ j, 0 < st[r -- _length] .intval, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r -- _length] .intval ≤ j0 → oktype(st[r -- j0 '], ty, st) ⊦ r = jvmref, r -- j ' ∈ st, oktype(st0[r -- j '], ty, st0 ∪ st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 29:
⊦ ¬ oktype(val, ty, st0) → ¬ oktype(val, ty, st1)
Proof step 33:
st[r -- _type] = typeval(mkarraytype(ty0)), j < st[r -- _length] .intval, r -- _length ∈ st, r -- _type ∈ st, r ∈ st, ty0 ≤ ty, is_arrayref(r, st[r -- _length] .intval, st), 0 ≤ st[r -- _length] .intval, 0 ≤ j, 0 < st[r -- _length] .intval, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r -- _length] .intval ≤ j0 → oktype(st[r -- j0 '], ty, st) ⊦ r = jvmref, r -- j ' ∈ st, oktype(st0[r -- j '], ty, st0 ∪ st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]