`BookProof.ChapterEulerNState.tailSum_zero_eq` (p : ℕ → ℝ) (n : ℕ) : tailSum p n 0 = ∑ j ∈ Finset.range n, p j

Proved

BookProof.ChapterEulerNState.tailSum_zero_eq

by leonardopedro · Oct 8, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterEulerNState.

BookProof.ChapterEulerNState.tailSum_zero_eq (p : ℕ → ℝ) (n : ℕ) : tailSum p n 0 = ∑ j ∈ Finset.range n, p j

Formalization note: Lean 4 identifier BookProof.ChapterEulerNState.tailSum_zero_eq.

Preamble

-- Generated from ChapterEulerNState.lean — theorem BookProof.ChapterEulerNState.tailSum_zero_eq
import Mathlib
import Definitions.Def_ChapterEulerNState
open BookProof.ChapterEulerNState


open scoped BigOperators

Formal statement

theorem BookProof.ChapterEulerNState.tailSum_zero_eq (p : ℕ → ℝ) (n : ℕ) :
    tailSum p n 0 = ∑ j ∈ Finset.range n, p j := by sorry

View graph