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Proof step 1 from proof product-pot-no-dups (conclusion)

∀ i. i ∈ ints → 0 < i ∧ i ^ n→i(#oc(i, ints)) ≤ j ⊦ Π ints ≤ j ^ n→i(# rmdup(ints))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

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