Theorems · Definition · category theory
CategoryTheory.Limits.IsTerminal.from
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] → {X : C} → CategoryTheory.Limits.IsTerminal X → (Y : C) → Y ⟶ XGive the morphism to a terminal object from any other.
- Cited by
- 160 results in Mathlib
- Foundations
- Depth 25 from the axioms, rests on 134 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
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Limits.IsLimit.liftproof · cited by 167
- CategoryTheory.Limits.IsTerminalstatement and proof · cited by 153
- CategoryTheory.Limits.asEmptyConeproof · cited by 12
Cited by213
Results whose statement or proof uses this declaration.
- CategoryTheory.SemiCartesianMonoidalCategory.toUnitproof · cited by 103
- CategoryTheory.WithTerminal.equivCommaproof · cited by 26
- CategoryTheory.CartesianMonoidalCategory.whiskerLeft_fstproof · cited by 24
- skyscraperPresheafproof · cited by 23
- CategoryTheory.WithInitial.opEquivproof · cited by 20
- CategoryTheory.CartesianMonoidalCategory.whiskerLeft_sndproof · cited by 19
- CategoryTheory.CartesianMonoidalCategory.whiskerRight_sndproof · cited by 16
- CategoryTheory.WithTerminal.mkCommaObjectproof · cited by 14
- CategoryTheory.Limits.IsTerminal.comp_fromstatement and proof · cited by 13
- CategoryTheory.SemiCartesianMonoidalCategory.fst_defstatement · cited by 13
- CategoryTheory.CartesianMonoidalCategory.whiskerRight_fstproof · cited by 13
- CategoryTheory.Limits.IsTerminal.uniqueUpToIsoproof · cited by 10
Showing the 200 most cited of 213.