Theorems · Definition · category theory
CategoryTheory.Limits.IsTerminal.uniqueUpToIso
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{T T' : C} → CategoryTheory.Limits.IsTerminal T → CategoryTheory.Limits.IsTerminal T' → (T ≅ T')If T and T' are terminal, they are isomorphic.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 30 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.
Cites4
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.Isostatement · cited by 3,963
- CategoryTheory.Limits.IsTerminal.fromproof · cited by 160
- CategoryTheory.Limits.IsTerminalstatement and proof · cited by 153
Cited by23
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.terminalIsoIsTerminalproof · cited by 4
- CategoryTheory.Limits.HasZeroObject.zeroIsoTerminalproof · cited by 3
- CategoryTheory.Limits.HasZeroObject.zeroIsoIsTerminalproof · cited by 2
- HomotopicalAlgebra.isFibrant_iff_of_isTerminalproof · cited by 2
- SSet.Truncated.HomotopyCategory.isoTerminalproof · cited by 2
- CategoryTheory.WithTerminal.starIsoTerminalproof · cited by 2
- CategoryTheory.Bicategory.RightLift.IsKan.uniqueUpToIsoproof · cited by 2
- AlgebraicGeometry.Scheme.nonempty_of_isLimitproof · cited by 1
- CategoryTheory.Limits.IsTerminal.uniqueUpToIso_homstatement and proof · cited by 1
- CategoryTheory.IsSifted.nonempty_of_colim_preservesLimitsOfShapeFinZeroproof · cited by 1
- CategoryTheory.Limits.Types.terminalIsoproof · cited by 1