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The Lean 4 theorem `eq_zero_of_hasDerivAt_smul_of_bounded` in the `ChapterNavierStokesEsa` chapter of the timepiece formalization

Proved
BookProof.NavierStokesFlow.eq_zero_of_hasDerivAt_smul_of_bounded

by leonardopedro · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

The Lean 4 theorem eq_zero_of_hasDerivAt_smul_of_bounded in the ChapterNavierStokesEsa chapter of the timepiece formalization.

Preamble
-- Generated from ChapterNavierStokesEsa.lean — theorem BookProof.NavierStokesFlow.eq_zero_of_hasDerivAt_smul_of_bounded
import Mathlib
import Definitions.Def_ChapterNavierStokesEsa
open BookProof.NavierStokesFlow








open scoped Matrix



variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
Formal statement
theorem BookProof.NavierStokesFlow.eq_zero_of_hasDerivAt_smul_of_bounded (g : ℝ → ℂ) (s C : ℝ) (hs : s * s = 1)
    (hgd : ∀ t : ℝ, HasDerivAt g ((s : ℂ) * g t) t) (hb : ∀ t : ℝ, ‖g t‖ ≤ C) : g 0 = 0 := by sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterNavierStokesEsa.lean

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