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Theorems · Definition · category theory

CategoryTheory.Bicategory.RightLift.whisker

{B : Type u} →
  [inst : CategoryTheory.Bicategory B] →
    {a b c : B} →
      {f : b ⟶ a} →
        {g : c ⟶ a} →
          CategoryTheory.Bicategory.RightLift f g →
            {x : B} → (h : x ⟶ c) → CategoryTheory.Bicategory.RightLift f (CategoryTheory.CategoryStruct.comp h g)

Whisker a 1-morphism to a lift. `` b ◹ | lift / | | counit / | f ▽ / ▽ x - - - ▷ c - - - ▷ a h g ``

Defined in
Mathlib.CategoryTheory.Bicategory.Extension
Cited by
8 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Bicategory

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Bicategory.RightLift.whiskering · cited by 2RightLift.whiskeringCategoryTheory.Bicategory.RightLift.whiskerOfIdCompIsoSelf · cited by 2RightLift.whiskerOfIdComp…CategoryTheory.Bicategory.RightLift.whiskerHom · cited by 1RightLift.whiskerHomCategoryTheory.Bicategory.RightLift.whiskerIdCancel · cited by 1RightLift.whiskerIdCancelCategoryTheory.Bicategory.RightLift.IsAbsKan · cited by 0RightLift.IsAbsKanCategoryTheory.Bicategory.RightLift.IsAbsKan.isKan · cited by 0IsAbsKan.isKanCategoryTheory.Bicategory.RightLift.IsKan.ofIdComp · cited by 0IsKan.ofIdCompCategoryTheory.Bicategory.RightLift.whiskerHom_left · cited by 0RightLift.whiskerHom_leftCategoryTheory.Bicategory.RightLift.whiskerIdCancel_left · cited by 0RightLift.whiskerIdCancel…CategoryTheory.Bicategory.RightLift.whiskerIso · cited by 0RightLift.whiskerIsoCategoryTheory.Bicategory.RightLift.whiskerOfIdCompIsoSelf_hom_left · cited by 0RightLift.whiskerOfIdComp…CategoryTheory.Bicategory.RightLift.whiskerOfIdCompIsoSelf_inv_left · cited by 0RightLift.whiskerOfIdComp…CategoryTheory.Bicategory.RightLift.whisker_counit · cited by 0RightLift.whisker_counitCategoryTheory.Bicategory.RightLift.whisker_lift · cited by 0RightLift.whisker_liftCategoryTheory.Bicategory.RightLift.IsKan.whiskerOfCommute · cited by 0IsKan.whiskerOfCommuteQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryCategoryTheory.Bicategory.whiskerLeft · cited by 524Bicategory.whiskerLeftCategoryTheory.Bicategory.associator · cited by 405Bicategory.associatorCategoryTheory.Bicategory.RightLift · cited by 19Bicategory.RightLiftCategoryTheory.Bicategory.RightLift.lift · cited by 13RightLift.liftCategoryTheory.Bicategory.RightLift.counit · cited by 8RightLift.counitCategoryTheory.Bicategory.RightLift.mk · cited by 0RightLift.mkRightLift.whiskerCITED BYCITES

Cites10

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Cited by17

Results whose statement or proof uses this declaration.