instPreservesColimitsOfShapeActionFintypeCatAutFunctorSingleObjFunctorToActionOfFinite

English

For finite groups G, preserves colimits of shape SingleObj G for functorToAction.

Русский

Для конечной группы G сохраняются котильности формы SingleObj G для functorToAction.

LaTeX

$$$\\text{PreservesColimitsOfShape}(\\text{SingleObj } G, \\text{functorToAction } F)$ for finite G.$$

Lean4

noncomputable instance (G : Type*) [Group G] [Finite G] : PreservesColimitsOfShape (SingleObj G) (functorToAction F) :=
  Action.preservesColimitsOfShape_of_preserves _ <| inferInstanceAs <| PreservesColimitsOfShape (SingleObj G) F

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