Prove2Me

`BookProof.NavierStokesFlow.nsFlow_solves_schrodinger` (psi : Fin n → ℂ) (t : ℝ) : HasDerivAt (fun s : ℝ => nsFlowUnitary d s *ᵥ psi) ((Complex.I • nsHamiltonian d) *ᵥ (nsFlowUnita

Proved
BookProof.NavierStokesFlow.nsFlow_solves_schrodinger

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesCauchy.

BookProof.NavierStokesFlow.nsFlow_solves_schrodinger (psi : Fin n → ℂ) (t : ℝ) : HasDerivAt (fun s : ℝ => nsFlowUnitary d s *ᵥ psi) ((Complex.I • nsHamiltonian d) *ᵥ (nsFlowUnitary d t *ᵥ psi)) t

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

Preamble
-- Generated from ChapterNavierStokesCauchy.lean — theorem BookProof.NavierStokesFlow.nsFlow_solves_schrodinger
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.nsFlow_solves_schrodinger (psi : Fin n → ℂ) (t : ℝ) :
    HasDerivAt (fun s : ℝ => nsFlowUnitary d s *ᵥ psi)
      ((Complex.I • nsHamiltonian d) *ᵥ (nsFlowUnitary d t *ᵥ psi)) t := by sorry

View graph