Theorems · Definition · category theory
CategoryTheory.CostructuredArrow.left
{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.CostructuredArrow S T → CThe left object of a costructured arrow.
- Cited by
- 202 results in Mathlib
- Foundations
- Depth 24 from the axioms, rests on 122 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Comma.leftproof · cited by 886
- CategoryTheory.CostructuredArrowstatement and proof · cited by 536
Cited by261
Results whose statement or proof uses this declaration.
- CategoryTheory.CostructuredArrow.homstatement · cited by 179
- CategoryTheory.CostructuredArrow.homMkstatement and proof · cited by 55
- CategoryTheory.Functor.LeftExtension.coconeAtproof · cited by 20
- CategoryTheory.CostructuredArrow.grothendieckPrecompFunctorToCommaproof · cited by 15
- CategoryTheory.CostructuredArrow.isoMkstatement and proof · cited by 14
- CategoryTheory.Bicategory.RightLift.liftproof · cited by 13
- CategoryTheory.Functor.rightKanExtensionproof · cited by 11
- CategoryTheory.CostructuredArrow.eqToHom_leftproof · cited by 10
- CategoryTheory.CostructuredArrow.preEquivalence.inversestatement and proof · cited by 9
- CategoryTheory.Functor.RightExtension.coneAtproof · cited by 9
- CategoryTheory.CategoryOfElements.costructuredArrowYonedaEquivalenceproof · cited by 9
- CategoryTheory.Comma.costructuredArrowSndInclusionproof · cited by 9
Showing the 200 most cited of 261.