Theorems · Theorem · category theory
CategoryTheory.Localization.Construction.liftToPathCategory_obj
∀ {C : Type uC} [inst : CategoryTheory.Category.{uC', uC} C] {W : CategoryTheory.MorphismProperty C} {D : Type uD}
[inst_1 : CategoryTheory.Category.{uD', uD} D] (G : CategoryTheory.Functor C D) (hG : W.IsInvertedBy G)
(X : CategoryTheory.Paths (CategoryTheory.Localization.Construction.LocQuiver W)),
(CategoryTheory.Localization.Construction.liftToPathCategory G hG).obj X = G.obj X.obj- Cited by
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- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.IsInvertedBystatement and proof · cited by 118
- CategoryTheory.Pathsstatement and proof · cited by 82
- CategoryTheory.Localization.Construction.LocQuiverstatement and proof · cited by 13
- CategoryTheory.Localization.Construction.LocQuiver.objstatement · cited by 10
- CategoryTheory.Localization.Construction.liftToPathCategorystatement and proof · cited by 4
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