Prove2Me

`BookProof.NavierStokesFlow.nsFlowUnitary_eq_matrixFlow` (t : ℝ) : nsFlowUnitary d t = matrixFlow (Complex.I • nsHamiltonian d) t

Proved
BookProof.NavierStokesFlow.nsFlowUnitary_eq_matrixFlow

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesCauchy.

BookProof.NavierStokesFlow.nsFlowUnitary_eq_matrixFlow (t : ℝ) : nsFlowUnitary d t = matrixFlow (Complex.I • nsHamiltonian d) t

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.nsFlowUnitary_eq_matrixFlow.

Preamble
-- Generated from ChapterNavierStokesCauchy.lean — theorem BookProof.NavierStokesFlow.nsFlowUnitary_eq_matrixFlow
import Mathlib
import Definitions.Def_ChapterNavierStokesCauchy
import Definitions.Def_ChapterNavierStokesFlow
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow


open scoped BigOperators Matrix Matrix.Norms.Operator

variable {n : ℕ}
variable {n : ℕ} (d : NSTruncation n)
Formal statement
theorem BookProof.NavierStokesFlow.nsFlowUnitary_eq_matrixFlow (t : ℝ) :
    nsFlowUnitary d t = matrixFlow (Complex.I • nsHamiltonian d) t := by sorry

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