Mathlib Map

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.

Defined in
Mathlib.CategoryTheory.LocallyCartesianClosed.Over
Cited by
10 results in Mathlib
Foundations
Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.equivToOverUnit · cited by 6CategoryTheory.equivToOve…CategoryTheory.toOverUnitPullback · cited by 2CategoryTheory.toOverUnit…CategoryTheory.toOverIsoToOverUnit · cited by 2CategoryTheory.toOverIsoT…CategoryTheory.toOverUnitPullback_hom_app_left · cited by 0CategoryTheory.toOverUnit…CategoryTheory.toOverUnitPullback_inv_app_left · cited by 0CategoryTheory.toOverUnit…CategoryTheory.toOverUnit_map_left · cited by 0CategoryTheory.toOverUnit…CategoryTheory.toOverUnit_obj_hom · cited by 0CategoryTheory.toOverUnit…CategoryTheory.toOverUnit_obj_left · cited by 0CategoryTheory.toOverUnit…CategoryTheory.equivToOverUnit_counitIso · cited by 0CategoryTheory.equivToOve…CategoryTheory.equivToOverUnit_inverse · cited by 0CategoryTheory.equivToOve…CategoryTheory.equivToOverUnit_unitIso · cited by 0CategoryTheory.equivToOve…CategoryTheory.toOverIsoToOverUnit_hom_app_left · cited by 0CategoryTheory.toOverIsoT…CategoryTheory.toOverIsoToOverUnit_inv_app_left · cited by 0CategoryTheory.toOverIsoT…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.MonoidalCategoryStruct.tensorUnit · cited by 1384MonoidalCategoryStruct.te…CategoryTheory.CartesianMonoidalCategory · cited by 947CategoryTheory.CartesianM…CategoryTheory.Over · cited by 935CategoryTheory.OverCategoryTheory.Over.mk · cited by 203Over.mkCategoryTheory.Over.homMk · cited by 115Over.homMkCategoryTheory.SemiCartesianMonoidalCategory.toUnit · cited by 103SemiCartesianMonoidalCate…CategoryTheory.toOverUnitCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by13

Results whose statement or proof uses this declaration.