`BookProof.NavierStokesFlow.matrixFlow_comm` (A : Matrix (Fin n) (Fin n) ℂ) (t : ℝ) : matrixFlow A t * A = A * matrixFlow A t

Proved

BookProof.NavierStokesFlow.matrixFlow_comm

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesCauchy.

BookProof.NavierStokesFlow.matrixFlow_comm (A : Matrix (Fin n) (Fin n) ℂ) (t : ℝ) : matrixFlow A t * A = A * matrixFlow A t

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

Preamble

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


open scoped BigOperators Matrix Matrix.Norms.Operator

variable {n : ℕ}

Formal statement

theorem BookProof.NavierStokesFlow.matrixFlow_comm (A : Matrix (Fin n) (Fin n) ℂ) (t : ℝ) :
    matrixFlow A t * A = A * matrixFlow A t := by sorry

View graph