Theorems · Inductive type · category theory
CategoryTheory.PreOneHypercover.Hom
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{S : C} → CategoryTheory.PreOneHypercover S → CategoryTheory.PreOneHypercover S → Type (max (max u_2 u_3) v)A morphism of pre-1-hypercovers of S is a family of refinement morphisms commuting
with the structure morphisms of E and F.
- Cited by
- 53 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.PreOneHypercoverstatement · cited by 180
Cited by87
Results whose statement or proof uses this declaration.
- CategoryTheory.PreOneHypercover.Hom.toHomstatement and proof · cited by 76
- CategoryTheory.PreOneHypercover.Hom.s₁statement and proof · cited by 34
- CategoryTheory.PreOneHypercover.Hom.h₁statement and proof · cited by 27
- CategoryTheory.PreOneHypercover.cylinderstatement and proof · cited by 17
- CategoryTheory.PreOneHypercover.Homotopystatement · cited by 11
- CategoryTheory.PreOneHypercover.Hom.compstatement and proof · cited by 9
- CategoryTheory.PreOneHypercover.cylinderfstatement and proof · cited by 8
- CategoryTheory.PreOneHypercover.cylinderXstatement and proof · cited by 7
- CategoryTheory.PreOneHypercover.cylinderHomstatement and proof · cited by 6
- CategoryTheory.GrothendieckTopology.OneHypercover.Homproof · cited by 6
- CategoryTheory.PreOneHypercover.Hom.ext'_iffstatement and proof · cited by 6
- CategoryTheory.PreOneHypercover.Hom.idstatement · cited by 6