Theorems · Theorem · category theory
CategoryTheory.Precoverage.hasPairwisePullbacks_of_mem
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (J : CategoryTheory.Precoverage C) [J.HasPullbacks] {X : C}
{R : CategoryTheory.Presieve X}, R ∈ J.coverings X → R.HasPairwisePullbacks- Defined in
- Mathlib.CategoryTheory.Sites.Precoverage
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses no axioms
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Presievestatement and proof · cited by 449
- CategoryTheory.Precoveragestatement and proof · cited by 204
- CategoryTheory.Precoverage.coveringsstatement and proof · cited by 194
- CategoryTheory.Precoverage.HasPullbacksstatement and proof · cited by 28
- CategoryTheory.Presieve.HasPairwisePullbacksstatement · cited by 25
- CategoryTheory.Presieve.HasPullbacks.hasPullbackproof · cited by 3
Cited by1
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