Theorems · Theorem · category theory
CategoryTheory.CartesianMonoidalCategory.lift_rightUnitor_hom
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] {X Y : C}
(f : X ⟶ Y) (g : X ⟶ CategoryTheory.MonoidalCategoryStruct.tensorUnit C),
CategoryTheory.CategoryStruct.comp (CategoryTheory.CartesianMonoidalCategory.lift f g)
(CategoryTheory.MonoidalCategoryStruct.rightUnitor Y).hom =
f- Cited by
- 3 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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.compstatement and proof · cited by 17,999
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement and proof · cited by 1,384
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.MonoidalCategoryStruct.rightUnitorstatement and proof · cited by 397
- CategoryTheory.SemiCartesianMonoidalCategory.fstproof · cited by 184
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.AddMonObj.lift_comp_zero_rightproof · cited by 5
- CategoryTheory.MonObj.lift_comp_one_rightproof · cited by 5
- CategoryTheory.CartesianMonoidalCategory.lift_rightUnitor_hom_assocproof · cited by 1