Theorems · Theorem · category theory
CategoryTheory.Presieve.HasPairwisePullbacks.map_of_preservesPairwisePullbacks
∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
[inst_1 : CategoryTheory.Category.{v_2, u_2} D] (F : CategoryTheory.Functor C D) {X : C}
(R : CategoryTheory.Presieve X) [F.PreservesPairwisePullbacks R] [R.HasPairwisePullbacks],
(CategoryTheory.Presieve.map F R).HasPairwisePullbacks- Defined in
- Mathlib.CategoryTheory.Sites.Precoverage
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.Limits.cospanproof · cited by 467
- CategoryTheory.Presievestatement and proof · cited by 449
- CategoryTheory.Limits.HasPullbackproof · cited by 434
- CategoryTheory.Limits.PreservesLimitproof · cited by 293
- CategoryTheory.Presieve.mapstatement and proof · cited by 38
- CategoryTheory.Presieve.HasPairwisePullbacksstatement and proof · cited by 25
- CategoryTheory.Functor.PreservesPairwisePullbacksstatement and proof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.