Theorems · Theorem · category theory
CategoryTheory.SemiCartesianMonoidalCategory.comp_toUnit
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.SemiCartesianMonoidalCategory C]
{X Y : C} (f : X ⟶ Y),
CategoryTheory.CategoryStruct.comp f (CategoryTheory.SemiCartesianMonoidalCategory.toUnit Y) =
CategoryTheory.SemiCartesianMonoidalCategory.toUnit X- Cited by
- 1 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.
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.SemiCartesianMonoidalCategory.toUnitstatement and proof · cited by 103
- CategoryTheory.SemiCartesianMonoidalCategory.toUnit_uniqueproof · cited by 26
- CategoryTheory.SemiCartesianMonoidalCategorystatement and proof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.SemiCartesianMonoidalCategory.comp_toUnit_assocproof · cited by 5