Prove2Me

`BookProof.ChapterDoubleSlit.slit_open_born` : bornProb (H *ᵥ (H *ᵥ psi0)) 0 = 1 ∧ bornProb (H *ᵥ (H *ᵥ psi0)) 1 = 0

Proved
BookProof.ChapterDoubleSlit.slit_open_born

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterDoubleSlit.

BookProof.ChapterDoubleSlit.slit_open_born : bornProb (H *ᵥ (H *ᵥ psi0)) 0 = 1 ∧ bornProb (H *ᵥ (H *ᵥ psi0)) 1 = 0

Formalization note: Lean 4 identifier BookProof.ChapterDoubleSlit.slit_open_born.

Preamble
-- Generated from ChapterDoubleSlit.lean — theorem BookProof.ChapterDoubleSlit.slit_open_born
import Mathlib
import Definitions.Def_ChapterDoubleSlit
open BookProof.ChapterDoubleSlit


open Matrix
open scoped BigOperators
Formal statement
theorem BookProof.ChapterDoubleSlit.slit_open_born :
    bornProb (H *ᵥ (H *ᵥ psi0)) 0 = 1 ∧ bornProb (H *ᵥ (H *ᵥ psi0)) 1 = 0 := by sorry

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