(k : ℕ) (z : ℂ) : z * phi (k + 1) z = phi k z - 1 / k.factorial

Proved

BookProof.ChapterH1.phi_succ_mul

by leonardopedro · Sep 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

Lean 4 theorem BookProof.ChapterH1.phi_succ_mul (module BookProof.ChapterH1), source chapter BookProof/ChapterChapterH1.lean.

Preamble

-- Generated from ChapterH1.lean — theorem BookProof.ChapterH1.phi_succ_mul
import Mathlib
import Definitions.Def_ChapterH1
open BookProof.ChapterH1






open scoped BigOperators
open intervalIntegral


noncomputable section

Formal statement

theorem BookProof.ChapterH1.phi_succ_mul (k : ℕ) (z : ℂ) :
    z * phi (k + 1) z = phi k z - 1 / k.factorial := by sorry

Source

https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterChapterH1.lean

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