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Proof step 6 from proof product-positive (previous step)

i ≤ 0, (i0 ∈ ints0 → 0 < i0) → ¬ Π ints0 ≤ 0, ∀ i1. i1 = i ∨ i1 ∈ ints0 → 0 < i1 ⊦ i ≠ 0 ∧ ¬ 0 ≤ Π ints0

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: i

Additional information

Used simplifier rules: lenls: ⊦ i ≤ j → ¬ j < i; from specification int-abs Used terms: i