Theorems · Definition · category theory
CategoryTheory.ChosenPullbacksAlong.isoInv
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] → {Y X : C} → (f : Y ≅ X) → CategoryTheory.ChosenPullbacksAlong f.invThe inverse of an isomorphism has a functorial choice of pullbacks.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 36 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.
Cites6
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.Iso.invstatement · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.ChosenPullbacksAlongstatement · cited by 73
- CategoryTheory.ChosenPullbacksAlong.isoproof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.ChosenPullbacksAlong.isoInv_mapPullbackAdj_counit_app_leftstatement · cited by 0
- CategoryTheory.ChosenPullbacksAlong.isoInv_mapPullbackAdj_unit_app_leftstatement · cited by 0
- CategoryTheory.ChosenPullbacksAlong.isoInv_pullback_map_leftstatement · cited by 0
- CategoryTheory.ChosenPullbacksAlong.isoInv_pullback_obj_homstatement · cited by 0
- CategoryTheory.ChosenPullbacksAlong.isoInv_pullback_obj_leftstatement · cited by 0
- CategoryTheory.ChosenPullbacksAlong.isoInv_pullback_obj_right_asstatement · cited by 0