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Proof step 7 from proof validrefs-applast-array-null (previous step)

st[r -- _type] = typeval(mkarraytype(ty0)), st[r -- _length] = intval(i0), 0 ≤ i0, 0 < i0, is_arrayref(r, i0, st), r -- _length ∈ st, okreftype(refval(r), mkarraytype(ty0), st), r -- _type ∈ st, i < i0, is_reftype(ty0), 0 ≤ i, r ∈ st, validrefs(str, refs + r ', ty, st), type∃(str, ty0), ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → is_referencevalue(st[r -- j ']) ⊦ r = jvmref, ty0 .jtelemtype = abstract_type, ty0 .jtelemtype = void_type, validrefs(str, refs + r ' + jvmref ', ty, st), is_referencevalue(st[r -- i '])

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

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

Additional information

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