`BookProof.ChapterUniformPrior.normalized_isRelabelingInvariant_eq_uniform` [Fintype Hyp] [Nonempty Hyp] (p : Hyp → ℝ) (hp : IsRelabelingInvariant p) (hsum : ∑ x, p x = 1) : p = fu

Proved

BookProof.ChapterUniformPrior.normalized_isRelabelingInvariant_eq_uniform

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterUniformPrior.

BookProof.ChapterUniformPrior.normalized_isRelabelingInvariant_eq_uniform [Fintype Hyp] [Nonempty Hyp] (p : Hyp → ℝ) (hp : IsRelabelingInvariant p) (hsum : ∑ x, p x = 1) : p = fun _ => (1 : ℝ) / Fintype.card Hyp

Formalization note: Lean 4 identifier BookProof.ChapterUniformPrior.normalized_isRelabelingInvariant_eq_uniform.

Preamble

-- Generated from ChapterUniformPrior.lean — theorem BookProof.ChapterUniformPrior.normalized_isRelabelingInvariant_eq_uniform
import Mathlib
import Definitions.Def_ChapterUniformPrior
open BookProof.ChapterUniformPrior


open scoped BigOperators


variable {Hyp Data : Type*}

Formal statement

theorem BookProof.ChapterUniformPrior.normalized_isRelabelingInvariant_eq_uniform [Fintype Hyp] [Nonempty Hyp]
    (p : Hyp → ℝ) (hp : IsRelabelingInvariant p) (hsum : ∑ x, p x = 1) :
    p = fun _ => (1 : ℝ) / Fintype.card Hyp := by sorry

View graph