Theorems · Definition · category theory
CategoryTheory.MonoidalCategory.whiskerRightIso
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
{X Y : C} →
(X ≅ Y) →
(Z : C) →
CategoryTheory.MonoidalCategoryStruct.tensorObj X Z ≅ CategoryTheory.MonoidalCategoryStruct.tensorObj Y ZThe right whiskering of an isomorphism is an isomorphism.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Category
- Cited by
- 52 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.whiskerRightproof · cited by 903
Cited by54
Results whose statement or proof uses this declaration.
- CategoryTheory.Monoidal.transportStructproof · cited by 8
- CategoryTheory.Center.tensorObjproof · cited by 7
- Bimod.AssociatorBimod.hom_left_act_hom'proof · cited by 5
- Bimod.AssociatorBimod.hom_right_act_hom'proof · cited by 5
- CategoryTheory.MonoidalCategory.unitors_equalproof · cited by 4
- CategoryTheory.MonoidalCategory.tensor_associativityproof · cited by 3
- CategoryTheory.MonoidalCategory.leftUnitor_monoidalproof · cited by 3
- CategoryTheory.MonoidalCategory.associator_monoidalproof · cited by 3
- CategoryTheory.MonoidalCategory.tensor_right_unitalityproof · cited by 3
- Bimod.TensorBimod.left_assoc'proof · cited by 3
- Bimod.TensorBimod.one_act_left'proof · cited by 3
- CategoryTheory.MonoidalCategory.rightUnitor_monoidalproof · cited by 3