instFiberFunctorActionFintypeCatForget₂

English

If X is connected and x ∈ X, then X is isomorphic to Aut F modulo the stabilizer of x as Aut F-sets.

Русский

Если X связано и x ∈ X, то X изоморфно Aut F / стабилизатор(x) как Aut F-множества.

LaTeX

$$$X \\cong \\mathrm{Aut}\\,F \\/\\!\\!\\-\\!\\!\\-\\; \\mathrm{stabilizer}_{\\mathrm{Aut}\\,F}(x)$$$

Lean4

/-- The forgetful functor from finite `G`-sets to sets is a `FiberFunctor`. -/
noncomputable instance : FiberFunctor (forget₂ (Action FintypeCat G) FintypeCat) :=
  inferInstanceAs <| FiberFunctor (Action.forget FintypeCat G)

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