Theorems · Definition · category theory
CategoryTheory.CostructuredArrow.proj
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{D : Type u₂} →
[inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
(S : CategoryTheory.Functor C D) → (T : D) → CategoryTheory.Functor (CategoryTheory.CostructuredArrow S T) CThe obvious projection functor from costructured arrows.
- Cited by
- 122 results in Mathlib
- Foundations
- Depth 25 from the axioms, rests on 131 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.fromPUnitproof · cited by 769
- CategoryTheory.CostructuredArrowstatement · cited by 536
- CategoryTheory.Comma.fstproof · cited by 76
Cited by175
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.LeftExtension.coconeAtstatement · cited by 20
- CategoryTheory.Functor.pointwiseLeftKanExtensionproof · cited by 19
- CategoryTheory.Functor.pointwiseLeftKanExtensionUnitproof · cited by 16
- CategoryTheory.Functor.HasPointwiseLeftKanExtensionAtproof · cited by 13
- CategoryTheory.Functor.leftKanExtensionObjIsoColimitstatement · cited by 10
- CategoryTheory.Functor.costructuredArrowMapCoconestatement · cited by 8
- CategoryTheory.CostructuredArrow.ofCostructuredArrowProjEquivalence.functorstatement and proof · cited by 6
- CategoryTheory.CostructuredArrow.ofCostructuredArrowProjEquivalence.inversestatement and proof · cited by 6
- CategoryTheory.CostructuredArrow.ofDiagEquivalence.functorproof · cited by 6
- TopCat.Presheaf.pullbackObjObjOfImageOpenproof · cited by 5
- CategoryTheory.Functor.pointwiseLeftKanExtensionUnit_appstatement · cited by 5