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Theorems · Theorem · category theory

FintypeCat.uSwitch_map_uSwitch_map

∀ {X Y : FintypeCat} (f : X ⟶ Y),
  FintypeCat.uSwitch.map (FintypeCat.uSwitch.map f) =
    CategoryTheory.CategoryStruct.comp
      (FintypeCat.equivEquivIso ((FintypeCat.uSwitch.obj X).uSwitchEquiv.trans X.uSwitchEquiv)).hom
      (CategoryTheory.CategoryStruct.comp f
        (FintypeCat.equivEquivIso ((FintypeCat.uSwitch.obj Y).uSwitchEquiv.trans Y.uSwitchEquiv)).inv)
Defined in
Mathlib.CategoryTheory.FintypeCat
Cited by
0 results in Mathlib
Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
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DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Functor.map · cited by 8698Functor.mapEquiv · cited by 8337EquivCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.Iso.inv · cited by 6514Iso.invCategoryTheory.Iso · cited by 3963CategoryTheory.IsoFinite · cited by 3029FiniteCategoryTheory.ObjectProperty.FullSubcategory.obj · cited by 1316FullSubcategory.objEquiv.trans · cited by 337Equiv.transFintypeCat · cited by 217FintypeCatFintypeCat.equivEquivIso · cited by 5FintypeCat.equivEquivIsoFintypeCat.uSwitch · cited by 3FintypeCat.uSwitchFintypeCat.uSwitch_map_uSwitc…CITED BYCITES

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