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Proof step 31 from proof okarray-union-03 (previous step)

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

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 11, [QUANTTERMLIST : (j)]]

Additional information

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