Theorems · Theorem · category theory
CategoryTheory.Dial.whiskerRight_f
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasFiniteProducts C]
[inst_2 : CategoryTheory.Limits.HasPullbacks C] {X₁ X₂ : CategoryTheory.Dial C} (f : X₁ ⟶ X₂)
(Y : CategoryTheory.Dial C),
(CategoryTheory.MonoidalCategoryStruct.whiskerRight f Y).f =
CategoryTheory.Limits.prod.map f.f (CategoryTheory.CategoryStruct.id Y.src)- Cited by
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- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.MonoidalCategoryStruct.whiskerRightstatement and proof · cited by 903
- CategoryTheory.Limits.HasPullbacksstatement and proof · cited by 439
- CategoryTheory.Limits.prodstatement · cited by 364
- CategoryTheory.Limits.HasFiniteProductsstatement and proof · cited by 142
- CategoryTheory.Limits.prod.mapstatement · cited by 105
- CategoryTheory.Dialstatement and proof · cited by 80
- CategoryTheory.Dial.srcstatement · cited by 71
- CategoryTheory.Dial.Hom.fstatement and proof · cited by 35
- CategoryTheory.Dial.tensorObjImplstatement · cited by 35
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