Theorems · Definition · category theory
CategoryTheory.Bicategory.Prod.sectL
(B : Type u₁) →
[inst : CategoryTheory.Bicategory B] →
{C : Type u₂} → [inst_1 : CategoryTheory.Bicategory C] → C → CategoryTheory.StrictlyUnitaryPseudofunctor B (B × C)sectL B c is the strictly unitary pseudofunctor B ⥤ B × C given by X ↦ (X, c).
- Cited by
- 7 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.Iso.reflproof · cited by 727
- CategoryTheory.Bicategory.leftUnitorproof · cited by 309
- CategoryTheory.Prod.mkHomproof · cited by 108
- CategoryTheory.StrictlyUnitaryPseudofunctorstatement · cited by 20
- CategoryTheory.Iso.prodproof · cited by 19
- CategoryTheory.StrictlyUnitaryPseudofunctor.mk'proof · cited by 5
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.Prod.sectL_mapstatement and proof · cited by 0
- CategoryTheory.Bicategory.Prod.sectL_mapComp_homstatement · cited by 0
- CategoryTheory.Bicategory.Prod.sectL_mapComp_invstatement · cited by 0
- CategoryTheory.Bicategory.Prod.sectL_mapId_homstatement and proof · cited by 0
- CategoryTheory.Bicategory.Prod.sectL_mapId_invstatement and proof · cited by 0
- CategoryTheory.Bicategory.Prod.sectL_map₂statement and proof · cited by 0
- CategoryTheory.Bicategory.Prod.sectL_objstatement and proof · cited by 0