`BookProof.InverseTransform.cdf_succ_sub` (k : ℕ) : cdf p (k + 1) - cdf p k = p k

Proved

BookProof.InverseTransform.cdf_succ_sub

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterInverseTransform.

BookProof.InverseTransform.cdf_succ_sub (k : ℕ) : cdf p (k + 1) - cdf p k = p k

Formalization note: Lean 4 identifier BookProof.InverseTransform.cdf_succ_sub.

Preamble

-- Generated from ChapterInverseTransform.lean — theorem BookProof.InverseTransform.cdf_succ_sub
import Mathlib
import Definitions.Def_ChapterInverseTransform
open BookProof.InverseTransform



open MeasureTheory Set Function

variable {n : ℕ} (p : ℕ → ℝ)

Formal statement

theorem BookProof.InverseTransform.cdf_succ_sub (k : ℕ) : cdf p (k + 1) - cdf p k = p k := by sorry

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