Mathlib Map

Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.whiskerLeft_mem

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (W : CategoryTheory.MorphismProperty C)
  [inst_1 : CategoryTheory.MonoidalCategory C] [W.IsMonoidal] (X : C) {Y₁ Y₂ : C} (g : Y₁ ⟶ Y₂),
  W g → W (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X g)
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
Mathlib docsSourceLoogleLeanSearch

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.whiskerLeft · cited by 915MonoidalCategoryStruct.wh…CategoryTheory.MorphismProperty.IsMonoidal · cited by 64MorphismProperty.IsMonoid…CategoryTheory.MorphismProperty.IsMonoidal.whiskerLeft · cited by 1IsMonoidal.whiskerLeftMorphismProperty.whiskerLeft_…CITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.