Theorems · Theorem · category theory
CategoryTheory.Equivalence.hasTerminal_iff
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(e : C ≌ D), CategoryTheory.Limits.HasTerminal C ↔ CategoryTheory.Limits.HasTerminal D- Cited by
- 4 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
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.Equivalence.functorproof · cited by 1,268
- CategoryTheory.Equivalence.inverseproof · cited by 1,130
- CategoryTheory.Equivalencestatement and proof · cited by 601
- CategoryTheory.Limits.HasTerminalstatement and proof · cited by 142
- CategoryTheory.hasTerminal_of_equivalenceproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.hasLimitsOfShape_iff_isLeftAdjoint_constproof · cited by 2
- CategoryTheory.Functor.hasRightExtension_iff_of_iso₂proof · cited by 1
- CategoryTheory.Functor.hasRightExtension_iff_postcomp₁proof · cited by 1
- CategoryTheory.Functor.hasRightExtension_iff_of_iso₁proof · cited by 0