Theorems · Definition · category theory
CategoryTheory.ULiftHomULiftCategory.equiv
(C : Type u) → [inst : CategoryTheory.Category.{v, u} C] → C ≌ CategoryTheory.ULiftHom (ULift.{u', u} C)The equivalence between C and ULiftHom (ULift C).
- Defined in
- Mathlib.CategoryTheory.Category.ULift
- Cited by
- 5 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.
Cites7
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.Equivalencestatement · cited by 601
- CategoryTheory.Equivalence.transproof · cited by 57
- CategoryTheory.ULiftHomstatement · cited by 15
- CategoryTheory.uliftCategorystatement · cited by 10
- CategoryTheory.ULift.equivalenceproof · cited by 6
- CategoryTheory.ULiftHom.equivproof · cited by 0
Cited by9
Results whose statement or proof uses this declaration.
- Profinite.Extend.functor_initialproof · cited by 2
- CategoryTheory.Limits.createsFiniteLimitsOfCreatesFiniteLimitsOfSizeproof · cited by 0
- CategoryTheory.Limits.WidePushoutShape.uliftEquivalenceproof · cited by 0
- CategoryTheory.Limits.WidePullbackShape.uliftEquivalenceproof · cited by 0
- CategoryTheory.Limits.hasFiniteColimits_of_hasFiniteColimits_of_sizeproof · cited by 0
- CategoryTheory.Limits.createsFiniteColimitsOfCreatesFiniteColimitsOfSizeproof · cited by 0
- CategoryTheory.Limits.hasFiniteLimits_of_hasFiniteLimits_of_sizeproof · cited by 0