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Theorems · Theorem · category theory

CategoryTheory.CartesianMonoidalCategory.lift_whiskerRight

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  {X Y Z W : C} (f : X ⟶ Y) (g : X ⟶ Z) (h : Y ⟶ W),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.CartesianMonoidalCategory.lift f g)
      (CategoryTheory.MonoidalCategoryStruct.whiskerRight h Z) =
    CategoryTheory.CartesianMonoidalCategory.lift (CategoryTheory.CategoryStruct.comp f h) g
Defined in
Mathlib.CategoryTheory.Monoidal.Cartesian.Basic
Cited by
6 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory

Around this declaration

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

CategoryTheory.CartesianMonoidalCategory.lift_whiskerRight_assoc · cited by 7CartesianMonoidalCategory…CategoryTheory.AddGrpObj.neg_hom · cited by 2AddGrpObj.neg_homCategoryTheory.GrpObj.inv_hom · cited by 2GrpObj.inv_homCategoryTheory.AddGrpObj.isPullback · cited by 1AddGrpObj.isPullbackCategoryTheory.GrpObj.isPullback · cited by 1GrpObj.isPullbackCategoryTheory.toOverPullbackIsoToOver_hom_app_left · cited by 0CategoryTheory.toOverPull…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Category.assoc · cited by 6433Category.assocCategoryTheory.MonoidalCategoryStruct.tensorObj · cited by 3106MonoidalCategoryStruct.te…CategoryTheory.CartesianMonoidalCategory · cited by 947CategoryTheory.CartesianM…CategoryTheory.MonoidalCategoryStruct.whiskerRight · cited by 903MonoidalCategoryStruct.wh…CategoryTheory.SemiCartesianMonoidalCategory.fst · cited by 184SemiCartesianMonoidalCate…CategoryTheory.SemiCartesianMonoidalCategory.snd · cited by 181SemiCartesianMonoidalCate…CategoryTheory.CartesianMonoidalCategory.lift · cited by 160CartesianMonoidalCategory…CategoryTheory.CartesianMonoidalCategory.hom_ext · cited by 46CartesianMonoidalCategory…CategoryTheory.CartesianMonoidalCategory.lift_snd · cited by 37CartesianMonoidalCategory…CategoryTheory.CartesianMonoidalCategory.lift_fst · cited by 36CartesianMonoidalCategory…CategoryTheory.CartesianMonoidalCategory.whiskerRight_snd · cited by 16CartesianMonoidalCategory…CategoryTheory.CartesianMonoidalCategory.whiskerRight_fst · cited by 13CartesianMonoidalCategory…CartesianMonoidalCategory.lif…CITED BYCITES

Cites16

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Cited by6

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