ContMDiffAt — Mathlib

English

The constant map is ContMDiff for any charts and should be stable under restrictions.

Русский

Постоянная карта сохраняет контMDiff при любых диаграммах и ограничениях.

LaTeX

$$$ ContMDiff I I' n fun _ : M => c$$

Lean4

/-- A function is `n` times continuously differentiable at a point in a manifold if
it is continuous and it is `n` times continuously differentiable around this point, when
read in the preferred chart at this point. -/
def ContMDiffAt (n : WithTop ℕ∞) (f : M → M') (x : M) :=
  ContMDiffWithinAt I I' n f univ x

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