Theorems · Theorem · category theory
CategoryTheory.Presieve.FactorsThruAlong.pullbackArrows
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {X Y : C} (f : X ⟶ Y) (R : CategoryTheory.Presieve Y)
[inst_1 : R.HasPullbacks f], (CategoryTheory.Presieve.pullbackArrows f R).FactorsThruAlong R f- Defined in
- Mathlib.CategoryTheory.Sites.Coverage
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- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Limits.pullback.fstproof · cited by 639
- CategoryTheory.Presievestatement and proof · cited by 449
- CategoryTheory.Limits.HasPullbackproof · cited by 434
- CategoryTheory.Limits.pullback.conditionproof · cited by 122
- CategoryTheory.Presieve.pullbackArrowsstatement and proof · cited by 17
- CategoryTheory.Presieve.FactorsThruAlongstatement · cited by 11
- CategoryTheory.Presieve.HasPullbacksstatement and proof · cited by 9
- CategoryTheory.Presieve.hasPullbackproof · cited by 3
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