Theorems · Definition · category theory
CategoryTheory.ChosenPullbacksAlong.iso
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] → {Y X : C} → (f : Y ≅ X) → CategoryTheory.ChosenPullbacksAlong f.homEvery isomorphism has a functorial choice of pullbacks.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Overproof · cited by 935
- CategoryTheory.Over.leftproof · cited by 541
- CategoryTheory.Over.homproof · cited by 370
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.ChosenPullbacksAlong.isoInvproof · cited by 6
- CategoryTheory.ChosenPullbacksAlong.iso_mapPullbackAdj_counit_appstatement · cited by 0
- CategoryTheory.ChosenPullbacksAlong.iso_mapPullbackAdj_unit_appstatement · cited by 0
- CategoryTheory.ChosenPullbacksAlong.iso_pullback_mapstatement · cited by 0
- CategoryTheory.ChosenPullbacksAlong.iso_pullback_objstatement · cited by 0