(i : Fin d) (hκ : 0 ≤ κ i) : (Real.sqrt (κ i / 2) : ℂ) * (Real.sqrt (κ i / 2) : ℂ) = (κ i : ℂ) / 2

Proved

BookProof.NavierStokesFlow.FockCanonical.sqrt_half_sq

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

navier-stokesoperator-algebrastimepiece

Lean 4 theorem BookProof.NavierStokesFlow.FockCanonical.sqrt_half_sq (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.

Preamble

-- Generated from ChapterNavierStokesFockCanonical.lean — theorem BookProof.NavierStokesFlow.FockCanonical.sqrt_half_sq
import Mathlib
import Definitions.Def_ChapterNavierStokesFockCanonical
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FockCanonical







open scoped ENNReal



open BookProof.NavierStokesFlow.LpNat BookProof.FarisLavine BookProof.NavierStokesFlow.IkebeKato BookProof.NavierStokesFlow.ShiftHamiltonian BookProof.NavierStokesFlow.FockManyMode BookProof.NavierStokesFlow.HermiteCanonical

variable {d : ℕ} {κ : Fin d → ℝ}

Formal statement

theorem BookProof.NavierStokesFlow.FockCanonical.sqrt_half_sq (i : Fin d) (hκ : 0 ≤ κ i) :
    (Real.sqrt (κ i / 2) : ℂ) * (Real.sqrt (κ i / 2) : ℂ) = (κ i : ℂ) / 2 := by sorry

Source

https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterNavierStokesFlow.lean

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