Theorems · Theorem · category theory
CategoryTheory.Localization.strictUniversalPropertyFixedTargetId_lift
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (W : CategoryTheory.MorphismProperty C) (E : Type u_3)
[inst_1 : CategoryTheory.Category.{v_3, u_3} E] (hW : W ≤ CategoryTheory.MorphismProperty.isomorphisms C)
(F : CategoryTheory.Functor C E) (x : W.IsInvertedBy F),
(CategoryTheory.Localization.strictUniversalPropertyFixedTargetId W E hW).lift F x = F- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.IsInvertedBystatement and proof · cited by 118
- CategoryTheory.MorphismProperty.isomorphismsstatement and proof · cited by 66
- CategoryTheory.Localization.StrictUniversalPropertyFixedTarget.liftstatement and proof · cited by 5
- CategoryTheory.Localization.strictUniversalPropertyFixedTargetIdstatement and proof · cited by 2
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