`BookProof.ChapterIrreversible.entropy_pointMass_zero` (p : Fin n → ℝ) (hp : IsPointMass p) : entropy p = 0

Proved

BookProof.ChapterIrreversible.entropy_pointMass_zero

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterIrreversible.

BookProof.ChapterIrreversible.entropy_pointMass_zero (p : Fin n → ℝ) (hp : IsPointMass p) : entropy p = 0

Formalization note: Lean 4 identifier BookProof.ChapterIrreversible.entropy_pointMass_zero.

Preamble

-- Generated from ChapterIrreversible.lean — theorem BookProof.ChapterIrreversible.entropy_pointMass_zero
import Mathlib
import Definitions.Def_ChapterIrreversible
open BookProof.ChapterIrreversible


open scoped BigOperators
open Finset


variable {n : ℕ}

Formal statement

theorem BookProof.ChapterIrreversible.entropy_pointMass_zero (p : Fin n → ℝ) (hp : IsPointMass p) :
    entropy p = 0 := by sorry

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