continuousWithinAt_uncurry_of_multilinear

English

The top element of IsLprojection is mapped to the unit 1 in M by the coercion.

Русский

Верхний элемент IsLprojection отображается в единицу 1 в M через каноническое приведение.

LaTeX

$$↑Top = 1$$

Lean4

theorem continuousWithinAt_uncurry_of_multilinear (f : G →L[𝕜] ContinuousMultilinearMap 𝕜 E F) {s x} :
    ContinuousWithinAt (fun (p : G × (Π i, E i)) ↦ f p.1 p.2) s x :=
  f.continuous_uncurry_of_multilinear.continuousWithinAt

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