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Proof step 40 from proof okarray-union-03 (previous step)

¬ (oktype(st[r -- j '], ty, st) ∧ st ⊆ st0 ∪ st), r -- j ' ∈ 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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 39:
st[r -- _type] = typeval(mkarraytype(ty0)), r -- j ' ∈ st, 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, oktype(st[r -- j '], ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ st0 ⊆ st ∪ st0])]]