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`BookProof.ChapterEulerCountableChain.stickTail_succ` (c : ℕ → ℝ) (N : ℕ) : stickTail c (N + 1) = stickTail c N * (1 - c N)

Proved
BookProof.ChapterEulerCountableChain.stickTail_succ

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterEulerCountableChain.

BookProof.ChapterEulerCountableChain.stickTail_succ (c : ℕ → ℝ) (N : ℕ) : stickTail c (N + 1) = stickTail c N * (1 - c N)

Formalization note: Lean 4 identifier BookProof.ChapterEulerCountableChain.stickTail_succ.

Preamble
-- Generated from ChapterEulerCountableChain.lean — theorem BookProof.ChapterEulerCountableChain.stickTail_succ
import Mathlib
import Definitions.Def_ChapterEulerCountableChain
open BookProof.ChapterEulerCountableChain


open scoped BigOperators
open Filter Topology
Formal statement
theorem BookProof.ChapterEulerCountableChain.stickTail_succ (c : ℕ → ℝ) (N : ℕ) :
    stickTail c (N + 1) = stickTail c N * (1 - c N) := by sorry

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