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Proof step 7 from proof product-negative (previous step)

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

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 4 terms: i

Additional information

Used simplifier rules: lels-02: ⊦ i ≠ j → (i ≤ j ↔ i < j); from specification int-abs%ls-01: ⊦ i < j → ¬ j < i; from specification int-basic1 Used terms: i