Theorems · Theorem · category theory
CategoryTheory.toOverUnit_obj_hom
∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
(X : C), ((CategoryTheory.toOverUnit C).obj X).hom = CategoryTheory.SemiCartesianMonoidalCategory.toUnit X- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.Overstatement · cited by 935
- CategoryTheory.Functor.fromPUnitstatement · cited by 769
- CategoryTheory.Comma.homstatement and proof · cited by 490
- CategoryTheory.SemiCartesianMonoidalCategory.toUnitstatement · cited by 103
- CategoryTheory.toOverUnitstatement and proof · cited by 10
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