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Proof step 13 from proof okarray-subset (previous step)

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

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 15, [QUANTTERMLIST : (j)]]

Additional information

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