Theorems · Definition · category theory
CategoryTheory.SemiCartesianMonoidalCategory.snd
{C : Type u} →
{inst : CategoryTheory.Category.{v, u} C} →
[self : CategoryTheory.SemiCartesianMonoidalCategory C] →
(X Y : C) → CategoryTheory.MonoidalCategoryStruct.tensorObj X Y ⟶ YThe second projection from the product.
- Cited by
- 181 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 13 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.SemiCartesianMonoidalCategorystatement and proof · cited by 14
Cited by216
Results whose statement or proof uses this declaration.
- CategoryTheory.CartesianMonoidalCategory.hom_extstatement and proof · cited by 46
- CategoryTheory.CartesianMonoidalCategory.prodComparisonproof · cited by 41
- CategoryTheory.CartesianMonoidalCategory.lift_sndstatement · cited by 37
- CategoryTheory.CartesianMonoidalCategory.whiskerLeft_sndstatement · cited by 19
- CategoryTheory.toOverproof · cited by 18
- CategoryTheory.CartesianMonoidalCategory.whiskerRight_sndstatement · cited by 16
- CategoryTheory.CartesianMonoidalCategory.comp_liftproof · cited by 13
- CategoryTheory.CartesianMonoidalCategory.tensorHom_sndstatement and proof · cited by 12
- CategoryTheory.zeroMulproof · cited by 12
- CategoryTheory.CartesianMonoidalCategory.lift_fst_sndstatement and proof · cited by 10
- CategoryTheory.SemiCartesianMonoidalCategory.snd_defstatement · cited by 10
- SSet.Truncated.HomotopyCategory.BinaryProduct.functorproof · cited by 9
Showing the 200 most cited of 216.