Theorems · Theorem · category theory
CategoryTheory.ChosenPullbacksAlong.iso_pullback_obj
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {Y X : C} (f : Y ≅ X) (Z : CategoryTheory.Over X),
(CategoryTheory.ChosenPullbacksAlong.pullback f.hom).obj Z =
CategoryTheory.Over.mk (CategoryTheory.CategoryStruct.comp Z.hom f.inv)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites12
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.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Iso.invstatement · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Overstatement and proof · cited by 935
- CategoryTheory.Over.leftstatement · cited by 541
- CategoryTheory.Over.homstatement · cited by 370
- CategoryTheory.Over.mkstatement · cited by 203
- CategoryTheory.ChosenPullbacksAlong.pullbackstatement and proof · cited by 62
- CategoryTheory.ChosenPullbacksAlong.isostatement · cited by 4
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