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

Proved

BookProof.NavierStokesFlow.matrixFlow_hasDerivAt

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesCauchy.

BookProof.NavierStokesFlow.matrixFlow_hasDerivAt (A : Matrix (Fin n) (Fin n) ℂ) (t : ℝ) : HasDerivAt (matrixFlow A) (matrixFlow A t * A) t

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

Preamble

-- Generated from ChapterNavierStokesCauchy.lean — theorem BookProof.NavierStokesFlow.matrixFlow_hasDerivAt
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_hasDerivAt (A : Matrix (Fin n) (Fin n) ℂ) (t : ℝ) :
    HasDerivAt (matrixFlow A) (matrixFlow A t * A) t := by sorry

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