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Proof step 8 from proof isarray-isarrayref (previous step)

st[r -- _length] = intval(i0), st[r -- _type] = typeval(mkarraytype(ty)), j < i0, 0 < i, 0 ≤ j, r -- _type ∈ st, i ≤ i0, r ∈ st, r -- _length ∈ st, 0 ≤ i0, j < i, 0 < i0, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st[r -- j '], ty), ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → r -- j0 ' ∈ st ⊦ r = jvmref, r -- j ' ∈ st

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 14, [QUANTTERMLIST : (j)]]

Additional information

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