`BookProof.CarlemanUnboundedHop.exists_mul_lt_of_not_summable_inv` {A S : ℕ → ℝ} (hA : ∀ n, 0 < A n) (hSsum : Summable S) (hcar : ¬ Summable fun n => (A n)⁻¹) : ∀ ε > 0, ∀ N₀ : ℕ,

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`BookProof.CarlemanUnboundedHop.exists_mul_lt_of_not_summable_inv` {A S : ℕ → ℝ} (hA : ∀ n, 0 < A n) (hSsum : Summable S) (hcar : ¬ Summable fun n => (A n)⁻¹) : ∀ ε > 0, ∀ N₀ : ℕ, · Prove2Me