Theorems · Theorem · category theory
CategoryTheory.MonoidalCategory.eqToHom_whiskerRight
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] {X Y : C}
(f : X = Y) (Z : C),
CategoryTheory.MonoidalCategoryStruct.whiskerRight (CategoryTheory.eqToHom f) Z = CategoryTheory.eqToHom ⋯- Defined in
- Mathlib.CategoryTheory.Monoidal.Category
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 · cited by 32,603
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement and proof · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.whiskerRightstatement · cited by 903
- CategoryTheory.eqToHomstatement · cited by 860
- CategoryTheory.MonoidalCategory.id_whiskerRightproof · cited by 48
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.biproduct_ι_comp_rightDistributor_homproof · cited by 1
- CategoryTheory.rightDistributor_inv_comp_biproduct_πproof · cited by 1
- CategoryTheory.leftDistributor_rightDistributor_assocproof · cited by 0
- CategoryTheory.FreeMonoidalCategory.normalize_naturalityproof · cited by 0
- CategoryTheory.rightDistributor_assocproof · cited by 0