Theorems · Definition · category theory
CategoryTheory.toOverUnit
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
CategoryTheory.Functor C (CategoryTheory.Over (CategoryTheory.MonoidalCategoryStruct.tensorUnit C))The functor from C to Over (𝟙_ C) which sends X : C to Over.mk <| toUnit X.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.Overstatement · cited by 935
- CategoryTheory.Over.mkproof · cited by 203
- CategoryTheory.Over.homMkproof · cited by 115
- CategoryTheory.SemiCartesianMonoidalCategory.toUnitproof · cited by 103
Cited by13
Results whose statement or proof uses this declaration.
- CategoryTheory.equivToOverUnitproof · cited by 6
- CategoryTheory.toOverUnitPullbackstatement and proof · cited by 2
- CategoryTheory.toOverIsoToOverUnitstatement · cited by 2
- CategoryTheory.toOverUnitPullback_hom_app_leftstatement · cited by 0
- CategoryTheory.toOverUnitPullback_inv_app_leftstatement · cited by 0
- CategoryTheory.toOverUnit_map_leftstatement and proof · cited by 0
- CategoryTheory.toOverUnit_obj_homstatement and proof · cited by 0
- CategoryTheory.toOverUnit_obj_leftstatement and proof · cited by 0
- CategoryTheory.equivToOverUnit_counitIsostatement · cited by 0
- CategoryTheory.equivToOverUnit_inversestatement · cited by 0
- CategoryTheory.equivToOverUnit_unitIsostatement · cited by 0
- CategoryTheory.toOverIsoToOverUnit_hom_app_leftstatement · cited by 0