Theorems · Definition · category theory
CategoryTheory.PreOneHypercover.toPreZeroHypercover
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{S : C} → CategoryTheory.PreOneHypercover S → CategoryTheory.PreZeroHypercover S- Cited by
- 232 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 4 definitions · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.PreZeroHypercoverstatement · cited by 256
- CategoryTheory.PreOneHypercoverstatement and proof · cited by 180
Cited by316
Results whose statement or proof uses this declaration.
- CategoryTheory.PreOneHypercover.I₁statement · cited by 143
- CategoryTheory.PreOneHypercover.Ystatement · cited by 113
- CategoryTheory.PreOneHypercover.p₁statement · cited by 79
- CategoryTheory.PreOneHypercover.Hom.toHomstatement · cited by 76
- CategoryTheory.PreOneHypercover.p₂statement · cited by 63
- CategoryTheory.PreOneHypercover.multicospanShapeproof · cited by 36
- CategoryTheory.PreOneHypercover.Hom.s₁statement · cited by 34
- CategoryTheory.PreOneHypercover.congrIndexOneOfEqstatement and proof · cited by 32
- CategoryTheory.PreOneHypercover.multicospanIndexproof · cited by 27
- CategoryTheory.PreOneHypercover.Hom.h₁statement · cited by 27
- CategoryTheory.PreOneHypercover.congrIndexOneOfEqIsostatement and proof · cited by 24
- CategoryTheory.PreOneHypercover.sieve₁statement and proof · cited by 24
Showing the 200 most cited of 316.