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Proof step 2 from proof primes-product-not-neg (previous step)

primes(ints), Π ints < 0 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
∀ i. i ∈ ints → 0 ≤ i ⊦ ¬ Π ints < 0

Rule argument

spec: inst: name: product-negative seq: ∀ i. i ∈ ints → 0 ≤ i ⊦ ¬ Π ints < 0 subst: [ints] → [ints] flags: rewrite, current

Additional information

Used simplifier rules: primes-not-neg: ⊦ i < 0 ∧ i ∈ ints → ¬ primes(ints);%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs Used terms: ints