Theorems · Definition · category theory
CategoryTheory.Functor.fromPUnit
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → C → CategoryTheory.Functor (CategoryTheory.Discrete PUnit.{w + 1}) CThe functor from Discrete PUnit sending everything to the given object.
- Defined in
- Mathlib.CategoryTheory.PUnit
- Cited by
- 769 results in Mathlib
- Foundations
- Depth 22 from the axioms, rests on 118 definitions · 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 and proof · cited by 2,447
- CategoryTheory.Functor.constproof · cited by 1,264
Cited by885
Results whose statement or proof uses this declaration.
- CategoryTheory.CostructuredArrowproof · cited by 536
- CategoryTheory.StructuredArrowproof · cited by 370
- CategoryTheory.Over.forgetproof · cited by 164
- CategoryTheory.CostructuredArrow.projproof · cited by 122
- CategoryTheory.MorphismProperty.Overproof · cited by 94
- CategoryTheory.Under.forgetproof · cited by 90
- CategoryTheory.StructuredArrow.projproof · cited by 59
- CategoryTheory.MorphismProperty.Underproof · cited by 43
- CategoryTheory.MorphismProperty.Over.pullbackstatement · cited by 42
- CategoryTheory.CostructuredArrow.preproof · cited by 36
- CategoryTheory.TwoSquare.structuredArrowDownwardsproof · cited by 35
- CategoryTheory.StructuredArrow.preproof · cited by 32
Showing the 200 most cited of 885.