Theorems · Definition · category theory
CategoryTheory.GlueData.U
{C : Type u₁} → [inst : CategoryTheory.Category.{v, u₁} C] → (self : CategoryTheory.GlueData C) → self.J → CFor each i : J, an object U i
- Defined in
- Mathlib.CategoryTheory.GlueData
- Cited by
- 121 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 4 definitions · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- CategoryTheory.GlueData.Jstatement · cited by 141
- CategoryTheory.GlueDatastatement and proof · cited by 60
Cited by167
Results whose statement or proof uses this declaration.
- CategoryTheory.GlueData.fstatement · cited by 83
- CategoryTheory.GlueData.diagramproof · cited by 68
- CategoryTheory.GlueData.ιstatement · cited by 42
- AlgebraicGeometry.Scheme.GlueData.ιstatement · cited by 30
- CategoryTheory.GlueData.mapGlueDatastatement and proof · cited by 24
- CategoryTheory.GlueData.t'statement · cited by 20
- CategoryTheory.GlueData.gluedIsostatement · cited by 9
- AlgebraicGeometry.Scheme.GlueData.oneHypercoverproof · cited by 8
- CategoryTheory.GlueData.diagramIsostatement · cited by 8
- CategoryTheory.GlueData.ι_gluedIso_invstatement and proof · cited by 8
- AlgebraicGeometry.PresheafedSpace.GlueData.ι_isOpenEmbeddingstatement and proof · cited by 7
- CategoryTheory.GlueData.t_facstatement · cited by 7