Theorems · Definition · category theory
CategoryTheory.Limits.IsTerminal
{C : Type u₁} → [CategoryTheory.Category.{v₁, u₁} C] → C → Type (max (max 0 u₁) v₁)X is terminal if the cone it induces on the empty diagram is limiting.
- Cited by
- 153 results in Mathlib
- Foundations
- Depth 24 from the axioms, rests on 131 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.Limits.IsLimitproof · cited by 664
- CategoryTheory.Limits.asEmptyConeproof · cited by 12
Cited by282
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.IsTerminal.fromstatement and proof · cited by 160
- CategoryTheory.Limits.terminalIsTerminalstatement · cited by 31
- CategoryTheory.SemiCartesianMonoidalCategory.isTerminalTensorUnitstatement · cited by 30
- CategoryTheory.Limits.IsTerminal.hom_extstatement and proof · cited by 29
- CategoryTheory.WithTerminal.starTerminalstatement · cited by 18
- CategoryTheory.Limits.IsTerminal.comp_fromstatement and proof · cited by 13
- CategoryTheory.CostructuredArrow.IsUniversalproof · cited by 12
- CategoryTheory.Limits.Types.isTerminalPUnitstatement · cited by 12
- CategoryTheory.Limits.IsTerminal.uniqueUpToIsostatement and proof · cited by 10
- CategoryTheory.Limits.IsTerminal.from_selfstatement and proof · cited by 9
- CategoryTheory.Limits.FormalCoproduct.isTerminalInclstatement and proof · cited by 9
- CategoryTheory.Limits.IsTerminal.isTerminalObjstatement and proof · cited by 8
Showing the 200 most cited of 282.