continuousLinearMapAt_trivialization

English

The continuous-linear map at a point in the trivialization equals the identity on the fiber.

Русский

Непрерывно-линейное отображение в точке тривиализации равно тождесчному отображению на волокне.

LaTeX

$$$$ (trivialization B F).continuousLinearMapAt 𝕜 x = ContinuousLinearMap.id 𝕜 F $$$$

Lean4

@[simp]
theorem continuousLinearMapAt_trivialization (x : B) :
    (trivialization B F).continuousLinearMapAt 𝕜 x = ContinuousLinearMap.id 𝕜 F := by ext; simp

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