Theorems · Theorem · category theory
CategoryTheory.Localization.Construction.prodIsLocalization
∀ {C₁ : Type u₁} {C₂ : Type u₂} [inst : CategoryTheory.Category.{v₁, u₁} C₁]
[inst_1 : CategoryTheory.Category.{v₂, u₂} C₂] (W₁ : CategoryTheory.MorphismProperty C₁)
(W₂ : CategoryTheory.MorphismProperty C₂) [W₁.ContainsIdentities] [W₂.ContainsIdentities],
(W₁.Q.prod W₂.Q).IsLocalization (W₁.prod W₂)- Defined in
- Mathlib.CategoryTheory.Localization.Prod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Functor.IsLocalizationstatement · cited by 432
- CategoryTheory.Functor.prodstatement and proof · cited by 126
- CategoryTheory.MorphismProperty.Qstatement and proof · cited by 98
- CategoryTheory.MorphismProperty.ContainsIdentitiesstatement and proof · cited by 94
- CategoryTheory.MorphismProperty.Localizationstatement · cited by 72
- CategoryTheory.MorphismProperty.prodstatement and proof · cited by 11
- CategoryTheory.Functor.IsLocalization.mk'proof · cited by 6
- CategoryTheory.Localization.StrictUniversalPropertyFixedTarget.prodproof · cited by 1
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