Theorems · Inductive type · category theory
CategoryTheory.Square
(C : Type u) → [CategoryTheory.Category.{v, u} C] → Type (max u v)The category of commutative squares in a category.
- Defined in
- Mathlib.CategoryTheory.Square
- Cited by
- 193 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- CategoryTheory.Category
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 by264
Results whose statement or proof uses this declaration.
- CategoryTheory.Square.X₃statement and proof · cited by 98
- CategoryTheory.Square.X₂statement and proof · cited by 94
- CategoryTheory.Square.X₁statement and proof · cited by 89
- CategoryTheory.Square.X₄statement and proof · cited by 87
- CategoryTheory.Square.f₁₃statement and proof · cited by 56
- CategoryTheory.Square.f₂₄statement and proof · cited by 52
- CategoryTheory.Square.f₁₂statement and proof · cited by 51
- CategoryTheory.Square.f₃₄statement and proof · cited by 51
- CategoryTheory.Square.mapstatement and proof · cited by 32
- CategoryTheory.GrothendieckTopology.MayerVietorisSquare.toSquarestatement · cited by 32
- CategoryTheory.Square.Hom.τ₁statement and proof · cited by 24
- CategoryTheory.Square.Hom.τ₂statement and proof · cited by 24
Showing the 200 most cited of 264.