`BookProof.ChapterUniformPrior.isRelabelingInvariant_iff_constant` (p : Hyp → ℝ) : IsRelabelingInvariant p ↔ ∃ c : ℝ, p = fun _ => c

Proved

BookProof.ChapterUniformPrior.isRelabelingInvariant_iff_constant

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterUniformPrior.

BookProof.ChapterUniformPrior.isRelabelingInvariant_iff_constant (p : Hyp → ℝ) : IsRelabelingInvariant p ↔ ∃ c : ℝ, p = fun _ => c

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

Preamble

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


open scoped BigOperators


variable {Hyp Data : Type*}

Formal statement

theorem BookProof.ChapterUniformPrior.isRelabelingInvariant_iff_constant (p : Hyp → ℝ) :
    IsRelabelingInvariant p ↔ ∃ c : ℝ, p = fun _ => c := by sorry

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