`BookProof.ChapterUniformPriorPosterior.binaryLikelihood_sum` (q : Hyp → ℝ) (x : Hyp) : ∑ observed : Bool, binaryLikelihood q x observed = 1

Proved

BookProof.ChapterUniformPriorPosterior.binaryLikelihood_sum

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterUniformPriorPosterior.

BookProof.ChapterUniformPriorPosterior.binaryLikelihood_sum (q : Hyp → ℝ) (x : Hyp) : ∑ observed : Bool, binaryLikelihood q x observed = 1

Formalization note: Lean 4 identifier BookProof.ChapterUniformPriorPosterior.binaryLikelihood_sum.

Preamble

-- Generated from ChapterUniformPriorPosterior.lean — theorem BookProof.ChapterUniformPriorPosterior.binaryLikelihood_sum
import Mathlib
import Definitions.Def_ChapterUniformPriorPosterior
open BookProof.ChapterUniformPriorPosterior


open scoped BigOperators


variable {Hyp : Type*} [Fintype Hyp] [DecidableEq Hyp]

Formal statement

theorem BookProof.ChapterUniformPriorPosterior.binaryLikelihood_sum (q : Hyp → ℝ) (x : Hyp) :
    ∑ observed : Bool, binaryLikelihood q x observed = 1 := by sorry

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