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Proof step 4 from proof prime-product-between (previous step)

Π ints ≤ binom_coef(2 * j + 1, j), primes(ints), j + 2 ≤ min(ints), max(ints) ≤ j * 2 + 1, 4 ^ j < Π ints, 0 < j ⊦ dups(ints)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
Π ints ≤ binom_coef(2 * j + 1, j), primes(ints), j + 2 ≤ min(ints), max(ints) ≤ j * 2 + 1, 4 ^ j < Π ints, 0 < j, 4 ^ j < binom_coef(2 * j + 1, j) ⊦ dups(ints)

Rule argument

Additional information

Used simplifier rules: forward-lsle: ⊦ i < j ∧ j ≤ j0 → i < j0; (forward) from specification int-abs