lean_workbook_plus_45780

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Let $f: R \to R$ be an infinitely differentiable function such that $f'(x) = f(1 - x) \;\; \forall x$ . Given $f(0) = 1$ . Find $f(1)$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_45780 (f : ℝ → ℝ) (hf : ∀ x, f x = f (1 - x)) (h : f 0 = 1) : f 1 = 1   :=  by sorry

Source