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Proof step 11 from proof arrayMaxWhile (previous step)

max(getintarray(a, st)) = st[a -- i2 '] .intval, st[a -- i1 '] .intval = max(getintarray(a, st)), st[_mode] = noval, max(getintarray(a, st)) = st[a -- j '] .intval, i1 < i2, 0 ≤ i1, 0 < i2, is_integervalue(st[a -- 1 ']), i1 < st[a -- _length] .intval, i2 < st[a -- _length] .intval, j < st[a -- _length] .intval, is_integervalue(st[a -- j ']), 0 ≤ j, 0 < st[a -- _length] .intval, 1 < st[a -- _length] .intval, is_integervalue(st[a -- i1 ']), is_integervalue(st[a -- 0 ']), is_integervalue(st[a -- i2 ']), 0 ≤ i2, init(st), okarray(a, int_type, st), ∀ i. i ∈ getintarray(a, st) → i ≤ max(getintarray(a, st)) ⊦ i1 = i2, getintarray(a, st) = [], a = jvmref, ¬ j ≤ i1 ∧ j ≤ i2, ∃ i3. ¬ i3 ≤ i1 ∧ i3 ≤ i2 ∧ st[a -- i3 '] .intval = max(getintarray(a, st))

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 5, [QUANTTERMLIST : (i2)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≠ j → (i ≤ j ↔ i < j)], [CSIMPSEQ : ⊦ i < j → ¬ j < i], [CSIMPSEQ : ⊦ i ≤ i])], [EXTRATERMS : (i2)]]