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Proof step 1 from proof product-all-elems-le (conclusion)

∀ i. i ∈ ints → 0 < i ∧ i ≤ i0 ⊦ Π ints ≤ i0 ^ n→i(# ints)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i0 ^ n→i(# ints) < Π ints, ∀ i. i ∈ ints → 0 < i ∧ i ≤ i0 ⊦

Rule argument

Additional information

Used simplifier rules: lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs