The Lean 4 theorem `bornPMF_apply` in the `ChapterContinuityUnitary` chapter of the timepiece formalization
ProvedBookProof.ChapterContinuityUnitary.bornPMF_applytimepiece
The Lean 4 theorem bornPMF_apply in the ChapterContinuityUnitary chapter of the timepiece formalization.
Preamble
-- Generated from ChapterContinuityUnitary.lean — theorem BookProof.ChapterContinuityUnitary.bornPMF_apply
import Mathlib
import Definitions.Def_ChapterContinuityUnitary
open BookProof.ChapterContinuityUnitary
variable {N : ℕ} [NeZero N]
open scoped BigOperators Matrix TensorProductFormal statement
theorem BookProof.ChapterContinuityUnitary.bornPMF_apply (v : ZMod N → ℝ) (t : ℝ) (psi : ZMod N → ℂ)
(hpsi : ∑ z, ‖psi z‖ ^ 2 = 1) (z : ZMod N) :
bornPMF v t psi hpsi z = ENNReal.ofReal (‖evolvedState v t psi z‖ ^ 2) := by sorrySource