-- File: optlib/Optlib/Algorithm/ADMM/Theroem_converge.lean
Theorem statement:
theorem extracted_formal_statement_217.{u_4} {β : Type u_4} {f g : β → ℝ} (hg : ∀ (n : β), 0 ≤ g n)
  (hgf : ∀ (n : β), g n ≤ f n) (hf : Summable f) (f_ge_zero : ∀ (n : β), 0 ≤ f n)
  (this : ∀ (n : β), ⟨g n, hg n⟩ ≤ ⟨f n, f_ge_zero n⟩) : Summable fun a => ↑⟨f a, f_ge_zero a⟩ := sorry

Tactic state before:
β : Type u_4
f g : β → ℝ
hg : ∀ (n : β), 0 ≤ g n
hgf : ∀ (n : β), g n ≤ f n
hf : Summable f
f_ge_zero : ∀ (n : β), 0 ≤ f n
this : ∀ (n : β), ⟨g n, ⋯⟩ ≤ ⟨f n, ⋯⟩
⊢ Summable fun a => ↑⟨f a, ⋯⟩

Tactic: exact hf

Tactic state after:

Premises used: