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Proof step 9 from proof product-negative (previous step)

i0 ∈ ints0, 0 < i, Π ints0 < 0, Π ints0 < i, i0 < 0, i0 < i, ∀ i0. i0 = i ∨ i0 ∈ ints0 → 0 ≤ i0 ⊦

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 7 terms: i0

Additional information

Used simplifier rules: lels-03: ⊦ i < j → (¬ ¬ j ≤ i ↔ false); from specification int-abs Used terms: i0