contDiffGroupoid — Mathlib

English

The C^n local diffeomorphisms form a groupoid under composition, closure under restrictions, and compatible with coordinate changes via I.

Русский

C^n локальные локальные диффеоморфизмы образуют группойод, закрыты на ограничение и совместимы с переходом координат через I.

LaTeX

$$$\text{contDiffGroupoid } n I$ is a structure on H with closed under composition and inverses given by contDiffPregroupoid.$$

Lean4

/-- Given a model with corners `(E, H)`, we define the groupoid of invertible `C^n` transformations
of `H` as the invertible maps that are `C^n` when read in `E` through `I`. -/
def contDiffGroupoid : StructureGroupoid H :=
  Pregroupoid.groupoid (contDiffPregroupoid n I)

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