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Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.whiskerRight_mem

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (W : CategoryTheory.MorphismProperty C)
  [inst_1 : CategoryTheory.MonoidalCategory C] [W.IsMonoidal] {X₁ X₂ : C} (f : X₁ ⟶ X₂),
  W f → ∀ (Y : C), W (CategoryTheory.MonoidalCategoryStruct.whiskerRight f Y)
Defined in
Mathlib.CategoryTheory.Localization.Monoidal.Basic
Cited by
2 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.MorphismProperty.IsMonoidal
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Around this declaration

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

CategoryTheory.MorphismProperty.tensorHom_mem · cited by 0MorphismProperty.tensorHo…CategoryTheory.Localization.Monoidal.isInvertedBy₂ · cited by 0Monoidal.isInvertedBy₂CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.MonoidalCategoryStruct.tensorObj · cited by 3106MonoidalCategoryStruct.te…CategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.MonoidalCategoryStruct.whiskerRight · cited by 903MonoidalCategoryStruct.wh…CategoryTheory.MorphismProperty.IsMonoidal · cited by 64MorphismProperty.IsMonoid…CategoryTheory.MorphismProperty.IsMonoidal.whiskerRight · cited by 1IsMonoidal.whiskerRightMorphismProperty.whiskerRight…CITED BYCITES

Cites8

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Cited by2

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