Theorems · Definition · category theory
CategoryTheory.curryRightUnitorHom
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
(I : C) → [inst_2 : CategoryTheory.Closed I] → CategoryTheory.MonoidalCategoryStruct.tensorUnit C ⟶ I ⟹ IThe first leg of a cospan to define sectionsObj as a pullback in C.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 · cited by 19,642
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.MonoidalCategoryStruct.rightUnitorproof · cited by 397
- CategoryTheory.ihomstatement · cited by 179
- CategoryTheory.Closedstatement and proof · cited by 90
- CategoryTheory.MonoidalClosed.curryproof · cited by 44
Cited by13
Results whose statement or proof uses this declaration.
- CategoryTheory.Over.sectionsstatement and proof · cited by 6
- CategoryTheory.Over.sectionsUncurrystatement and proof · cited by 5
- CategoryTheory.Over.sectionsCurrystatement and proof · cited by 4
- CategoryTheory.Over.sectionsCurry_sectionUncurrystatement and proof · cited by 2
- CategoryTheory.Over.sectionsUncurry_sectionsCurrystatement and proof · cited by 2
- CategoryTheory.Over.toOverSectionsAdjstatement and proof · cited by 2
- CategoryTheory.Over.coreHomEquivToOverSectionsstatement and proof · cited by 1
- CategoryTheory.toUnit_comp_curryRightUnitorHomstatement and proof · cited by 0
- CategoryTheory.Over.sections_mapstatement and proof · cited by 0
- CategoryTheory.Over.sections_objstatement and proof · cited by 0
- CategoryTheory.Over.toOverSectionsAdj_counit_appstatement and proof · cited by 0
- CategoryTheory.Over.toOverSectionsAdj_unit_appstatement and proof · cited by 0