Theorems · Inductive type · category theory
CategoryTheory.WithInitial
Type u → Type u
Formally adjoin an initial object to a category.
- Cited by
- 144 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by189
Results whose statement or proof uses this declaration.
- AugmentedSimplexCategoryproof · cited by 66
- CategoryTheory.WithInitial.inclstatement · cited by 37
- CategoryTheory.WithInitial.downstatement · cited by 27
- CategoryTheory.WithInitial.starInitialstatement · cited by 23
- CategoryTheory.WithInitial.mkCommaObjectstatement and proof · cited by 22
- CategoryTheory.WithInitial.liftFromUnderstatement · cited by 21
- CategoryTheory.WithInitial.opEquivstatement and proof · cited by 20
- CategoryTheory.WithInitial.ofCommaObjectstatement · cited by 18
- CategoryTheory.WithInitial.coconeEquivstatement · cited by 16
- CategoryTheory.WithInitial.equivCommastatement and proof · cited by 16
- CategoryTheory.WithInitial.liftstatement and proof · cited by 15
- CategoryTheory.WithInitial.mkCommaMorphismstatement and proof · cited by 14