`BookProof.ChapterDutchBook.represents_isProb_coherent` [Fintype Ω] {Pr : Finset Ω → ℝ} {p : Ω → ℝ} (hp : IsProb p) (hrep : Represents Pr p) : Coherent Pr

Proved

BookProof.ChapterDutchBook.represents_isProb_coherent

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterDutchBook.

BookProof.ChapterDutchBook.represents_isProb_coherent [Fintype Ω] {Pr : Finset Ω → ℝ} {p : Ω → ℝ} (hp : IsProb p) (hrep : Represents Pr p) : Coherent Pr

Formalization note: Lean 4 identifier BookProof.ChapterDutchBook.represents_isProb_coherent.

Preamble

-- Generated from ChapterDutchBook.lean — theorem BookProof.ChapterDutchBook.represents_isProb_coherent
import Mathlib
import Definitions.Def_ChapterDutchBook
open BookProof.ChapterDutchBook


open scoped BigOperators
open Finset


variable {Ω : Type*} [DecidableEq Ω]

Formal statement

theorem BookProof.ChapterDutchBook.represents_isProb_coherent [Fintype Ω] {Pr : Finset Ω → ℝ} {p : Ω → ℝ}
    (hp : IsProb p) (hrep : Represents Pr p) : Coherent Pr := by sorry

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