Theorems · Inductive type · category theory
CategoryTheory.Join
(C : Type u₁) →
[CategoryTheory.Category.{v₁, u₁} C] → (D : Type u₂) → [CategoryTheory.Category.{v₂, u₂} D] → Type (max u₁ u₂)Elements of Join C D are either elements of C or elements of D.
- Defined in
- Mathlib.CategoryTheory.Join.Basic
- Cited by
- 131 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 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.Categorystatement · cited by 32,673
Cited by182
Results whose statement or proof uses this declaration.
- CategoryTheory.Join.inclLeftstatement · cited by 74
- CategoryTheory.Join.inclRightstatement · cited by 74
- CategoryTheory.Join.mapPairstatement · cited by 58
- CategoryTheory.Join.mapPairCompstatement · cited by 20
- CategoryTheory.Join.opEquivstatement and proof · cited by 18
- CategoryTheory.Join.mkFunctorstatement and proof · cited by 16
- CategoryTheory.Join.mapWhiskerLeftstatement · cited by 14
- CategoryTheory.Join.mapWhiskerRightstatement · cited by 13
- CategoryTheory.Join.edgestatement · cited by 13
- CategoryTheory.Join.edgeTransformstatement · cited by 13
- CategoryTheory.Join.natTrans_extstatement and proof · cited by 12
- CategoryTheory.Join.mapIsoWhiskerLeftstatement · cited by 11