Theorems · Definition · category theory
CategoryTheory.Discrete.as
{α : Type u₁} → CategoryTheory.Discrete α → αA wrapper for promoting any type to a category, with the only morphisms being equalities.
- Defined in
- Mathlib.CategoryTheory.Discrete.Basic
- Cited by
- 269 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.Discretestatement and proof · cited by 2,447
Cited by310
Results whose statement or proof uses this declaration.
- CategoryTheory.Discrete.functorproof · cited by 633
- CategoryTheory.Limits.Cofan.mkproof · cited by 105
- CategoryTheory.Limits.Fan.mkproof · cited by 46
- CategoryTheory.Limits.Pi.mapproof · cited by 39
- CategoryTheory.Limits.biproduct.hom_extproof · cited by 27
- CategoryTheory.Limits.biproduct.hom_ext'proof · cited by 24
- CategoryTheory.Limits.biproduct.mapproof · cited by 24
- CategoryTheory.piEquivalenceFunctorDiscreteproof · cited by 17
- CategoryTheory.Limits.Pi.map_πproof · cited by 17
- CategoryTheory.Discrete.eqToHomstatement and proof · cited by 16
- CategoryTheory.Limits.Sigma.mapproof · cited by 14
- CategoryTheory.Discrete.extstatement and proof · cited by 11
Showing the 200 most cited of 310.