Theorems · Theorem · category theory
CategoryTheory.Limits.Types.pullbackIsoPullback_inv_snd
∀ {X Y Z : Type u} (f : X ⟶ Z) (g : Y ⟶ Z),
CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.Types.pullbackIsoPullback f g).inv
(CategoryTheory.Limits.pullback.snd f g) =
TypeCat.ofHom fun p => (↑p).2- Cited by
- 3 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Iso.invstatement · cited by 6,514
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
- TypeCat.Funstatement · cited by 1,307
- CategoryTheory.Limits.pullbackstatement · cited by 864
- CategoryTheory.Limits.pullback.sndstatement · cited by 637
- CategoryTheory.Limits.WalkingCospanstatement · cited by 496
- CategoryTheory.Limits.cospanstatement · cited by 467
- TypeCat.ofHomstatement · cited by 389
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.Concrete.pullbackMk_sndproof · cited by 1
- CategoryTheory.PreGaloisCategory.fiberPullbackEquiv_symm_snd_applyproof · cited by 1
- CategoryTheory.Limits.Types.pullbackIsoPullback_inv_snd_applyproof · cited by 0