Prove2Me

`BookProof.ChapterWeakValue.dslit_weakValue` : weakValue (H *ᵥ psi0) psi0 (projMat 0) = 1 ∧ weakValue (H *ᵥ psi0) psi0 (projMat 1) = 0

Proved
BookProof.ChapterWeakValue.dslit_weakValue

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWeakValue.

BookProof.ChapterWeakValue.dslit_weakValue : weakValue (H *ᵥ psi0) psi0 (projMat 0) = 1 ∧ weakValue (H *ᵥ psi0) psi0 (projMat 1) = 0

Formalization note: Lean 4 identifier BookProof.ChapterWeakValue.dslit_weakValue.

Preamble
-- Generated from ChapterWeakValue.lean — theorem BookProof.ChapterWeakValue.dslit_weakValue
import Mathlib
import Definitions.Def_ChapterWeakValue
import Definitions.Def_ChapterDoubleSlit
open BookProof.ChapterDoubleSlit
open BookProof.ChapterWeakValue


open scoped BigOperators Matrix


variable {n : ℕ}
Formal statement
theorem BookProof.ChapterWeakValue.dslit_weakValue :
    weakValue (H *ᵥ psi0) psi0 (projMat 0) = 1 ∧
      weakValue (H *ᵥ psi0) psi0 (projMat 1) = 0 := by sorry

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