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Proof step 11 from proof isarray-put-field (previous step)

st[r -- _length] = intval(i), st[r -- _type] = typeval(mkarraytype(ty)), r -- _type ∈ st[r0 -- fs ', val], r -- _length ∈ st[r0 -- fs ', val], is_arrayref(r, i, st), r -- _length ∈ st, r -- _type ∈ st, r ∈ st[r0 -- fs ', val], r ∈ st, 0 ≤ i, j < i, 0 ≤ j, 0 < i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, fs ' = _length, fs ' = _type, okval(st[r -- j '], ty)

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)]]