`BookProof.ChapterPriorDependence.evidence_dirac` (a : Hyp) (L : Hyp → Data → ℝ) (d : Data) : BookProof.ChapterBayesInference.evidence (diracPrior a) L d = L a d

Proved

BookProof.ChapterPriorDependence.evidence_dirac

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPriorDependence.

BookProof.ChapterPriorDependence.evidence_dirac (a : Hyp) (L : Hyp → Data → ℝ) (d : Data) : BookProof.ChapterBayesInference.evidence (diracPrior a) L d = L a d

Formalization note: Lean 4 identifier BookProof.ChapterPriorDependence.evidence_dirac.

Preamble

-- Generated from ChapterPriorDependence.lean — theorem BookProof.ChapterPriorDependence.evidence_dirac
import Mathlib
import Definitions.Def_ChapterPriorDependence
import Definitions.Def_ChapterBayesInference
open BookProof.ChapterBayesInference
open BookProof.ChapterPriorDependence


open scoped BigOperators


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

variable [Fintype Hyp]

Formal statement

theorem BookProof.ChapterPriorDependence.evidence_dirac (a : Hyp) (L : Hyp → Data → ℝ) (d : Data) :
    BookProof.ChapterBayesInference.evidence (diracPrior a) L d = L a d := by sorry

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