Theorems · Definition · category theory
CategoryTheory.Limits.MultispanShape.prod
Type w → CategoryTheory.Limits.MultispanShape
Given a type ι, this is the shape of multicoequalizer diagrams corresponding
to situations where we want to coequalize two families of maps V ⟨i, j⟩ ⟶ U i
and V ⟨i, j⟩ ⟶ U j with i : ι and j : ι.
- Cited by
- 93 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 5 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Limits.MultispanShapestatement · cited by 102
Cited by141
Results whose statement or proof uses this declaration.
- CategoryTheory.GlueData.diagramstatement and proof · cited by 68
- CategoryTheory.GlueData.gluedstatement · cited by 44
- CategoryTheory.GlueData.ιstatement · cited by 42
- CompleteLattice.MulticoequalizerDiagram.multispanIndexstatement and proof · cited by 20
- CategoryTheory.Limits.MultispanIndex.toLinearOrderstatement and proof · cited by 20
- AlgebraicGeometry.Scheme.Cover.hom_extproof · cited by 18
- AlgebraicGeometry.Scheme.Pullback.p1proof · cited by 18
- AlgebraicGeometry.Scheme.Cover.ι_glueMorphismsproof · cited by 12
- AlgebraicGeometry.Scheme.Cover.glueMorphismsproof · cited by 10
- AlgebraicGeometry.Scheme.Cover.fromGluedproof · cited by 9
- CategoryTheory.GlueData.gluedIsostatement · cited by 9
- CategoryTheory.Limits.MultispanIndex.SymmStructstatement · cited by 8