Theorems · Definition · category theory
CategoryTheory.Functor.star
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.Functor C (CategoryTheory.Discrete PUnit.{w + 1})The constant functor sending everything to PUnit.star.
- Defined in
- Mathlib.CategoryTheory.PUnit
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.Functor.constproof · cited by 1,264
Cited by23
Results whose statement or proof uses this declaration.
- FundamentalGroupoid.punitEquivDiscretePUnitproof · cited by 4
- CategoryTheory.MorphismProperty.overEquivOfIsInitialproof · cited by 4
- CategoryTheory.overEquivOfIsInitialproof · cited by 4
- CategoryTheory.MorphismProperty.underEquivOfIsTerminalproof · cited by 4
- CategoryTheory.underEquivOfIsTerminalproof · cited by 4
- FundamentalGroupoid.punitEquivDiscretePUnit_counitIsostatement · cited by 0
- FundamentalGroupoid.punitEquivDiscretePUnit_functorstatement · cited by 0
- FundamentalGroupoid.punitEquivDiscretePUnit_unitIsostatement · cited by 0
- CategoryTheory.equivPUnitproof · cited by 0
- CategoryTheory.discreteIsConnectedEquivPUnitproof · cited by 0
- CategoryTheory.MorphismProperty.overEquivOfIsInitial_counitIsostatement · cited by 0
- CategoryTheory.MorphismProperty.overEquivOfIsInitial_functorstatement · cited by 0