Theorems · Definition · category theory
CategoryTheory.Pairwise.diagramMap
{ι : Type v} →
{α : Type u} →
(U : ι → α) →
[inst : SemilatticeInf α] →
{o₁ o₂ : CategoryTheory.Pairwise ι} →
(o₁ ⟶ o₂) → (CategoryTheory.Pairwise.diagramObj U o₁ ⟶ CategoryTheory.Pairwise.diagramObj U o₂)Auxiliary definition for diagram.
- Defined in
- Mathlib.CategoryTheory.Category.Pairwise
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses no axioms
- Assumes
- SemilatticeInf
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- SemilatticeInfstatement and proof · cited by 634
- CategoryTheory.homOfLEproof · cited by 554
- CategoryTheory.Pairwisestatement and proof · cited by 40
- CategoryTheory.Pairwise.diagramObjstatement and proof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Pairwise.diagramproof · cited by 30
- CategoryTheory.Pairwise.diagram_mapstatement · cited by 0