Theorems · Definition · category theory
CategoryTheory.Limits.IsTerminal.ofIso
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{Y Z : C} → CategoryTheory.Limits.IsTerminal Y → (Y ≅ Z) → CategoryTheory.Limits.IsTerminal ZTransport a term of type IsTerminal across an isomorphism.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 31 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.
Cites6
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.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Limits.IsTerminalstatement and proof · cited by 153
- CategoryTheory.Limits.IsLimit.ofIsoLimitproof · cited by 39
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.IsTerminal.equivOfIsoproof · cited by 4
- CategoryTheory.Functor.isRightKanExtension_of_isoproof · cited by 2
- CategoryTheory.Functor.final_of_isTerminal_colimit_comp_yonedaproof · cited by 1
- CategoryTheory.Limits.Types.isTerminalEquivUniqueproof · cited by 0
- CategoryTheory.Limits.IsTerminal.ofStrictproof · cited by 0
- CategoryTheory.Bicategory.RightLift.IsKan.ofIsoKanproof · cited by 0
- skyscraperPresheafStalkOfNotSpecializesIsTerminalproof · cited by 0
- CategoryTheory.MonoidalCategory.Arrow.PullbackHom.isInitialIso_hom_rightstatement · cited by 0
- CategoryTheory.MonoidalCategory.Arrow.PullbackHom.isInitialIso_inv_rightstatement · cited by 0
- CategoryTheory.Presheaf.final_toCostructuredArrow_comp_preproof · cited by 0