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Proof step 31 from proof arrayMaxWhile (previous step)

st[_mode] = noval, st[a -- i1 '] .intval = max(getintarray(a, st)), 0 < st[a -- _length] .intval, 1 < st[a -- _length] .intval, i1 < st[a -- _length] .intval, is_integervalue(st[a -- i0 ']), is_integervalue(st[a -- 0 ']), is_integervalue(st[a -- i2 ']), is_integervalue(st[a -- i1 ']), 0 ≤ i2, init(st), okarray(a, int_type, st), i0 ≤ i1, i1 ≤ i2, 0 ≤ i0, 0 ≤ i1, i0 < i2, 0 < i2, is_integervalue(st[a -- 1 ']), i0 < st[a -- _length] .intval, i2 < st[a -- _length] .intval, st[a -- i2 '] .intval < st[a -- i0 '] .intval ⊦ i0 = i2, getintarray(a, st) = [], a = jvmref, ∃ i3. i0 ≤ i3 ∧ ¬ i2 ≤ i3 ∧ st[a -- i3 '] .intval = max(getintarray(a, st))

User applied rule exists right

And obtained the following new goals

Proof step 30:
st[_mode] = noval, st[a -- i1 '] .intval = max(getintarray(a, st)), 0 < st[a -- _length] .intval, 1 < st[a -- _length] .intval, i1 < st[a -- _length] .intval, is_integervalue(st[a -- i0 ']), is_integervalue(st[a -- 0 ']), is_integervalue(st[a -- i2 ']), is_integervalue(st[a -- i1 ']), 0 ≤ i2, init(st), okarray(a, int_type, st), i0 ≤ i1, i1 ≤ i2, 0 ≤ i0, 0 ≤ i1, i0 < i2, 0 < i2, is_integervalue(st[a -- 1 ']), i0 < st[a -- _length] .intval, i2 < st[a -- _length] .intval, st[a -- i2 '] .intval < st[a -- i0 '] .intval ⊦ i0 = i2, getintarray(a, st) = [], a = jvmref, i0 ≤ i1 ∧ ¬ i2 ≤ i1 ∧ st[a -- i1 '] .intval = max(getintarray(a, st)), ∃ i3. i0 ≤ i3 ∧ ¬ i2 ≤ i3 ∧ st[a -- i3 '] .intval = max(getintarray(a, st))

Rule argument

[EXRARG : pos: right 4, [extquanttermlist: (i1)abort:F, discard:F, computed:T]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (i1)]]