`BookProof.ChapterTrajectory.condProb_sum` (U V : Matrix (Fin n) (Fin n) ℂ) (psi : Fin n → ℂ) (f : Fin n) (hf : finalProb U V psi f ≠ 0) : ∑ a, condProb U V psi f a = 1

Proved

BookProof.ChapterTrajectory.condProb_sum

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterTrajectory.

BookProof.ChapterTrajectory.condProb_sum (U V : Matrix (Fin n) (Fin n) ℂ) (psi : Fin n → ℂ) (f : Fin n) (hf : finalProb U V psi f ≠ 0) : ∑ a, condProb U V psi f a = 1

Formalization note: Lean 4 identifier BookProof.ChapterTrajectory.condProb_sum.

Preamble

-- Generated from ChapterTrajectory.lean — theorem BookProof.ChapterTrajectory.condProb_sum
import Mathlib
import Definitions.Def_ChapterTrajectory
open BookProof.ChapterTrajectory


open scoped BigOperators Matrix


variable {n : ℕ}

Formal statement

theorem BookProof.ChapterTrajectory.condProb_sum (U V : Matrix (Fin n) (Fin n) ℂ) (psi : Fin n → ℂ)
    (f : Fin n) (hf : finalProb U V psi f ≠ 0) :
    ∑ a, condProb U V psi f a = 1 := by sorry

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