Theorems · Definition · category theory

CategoryTheory.Limits.WidePullbackShape.uliftEquivalence

{J : Type w} →
  CategoryTheory.ULiftHom (ULift.{w', w} (CategoryTheory.Limits.WidePullbackShape J)) ≌
    CategoryTheory.Limits.WidePullbackShape (ULift.{w', w} J)

Lifting universe and morphism levels preserves wide pullback diagrams.

Defined in: Mathlib.CategoryTheory.Limits.Shapes.WidePullbacks
Cited by: 0 results in Mathlib
Foundations: Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

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Equiv.symmproof · cited by 3,681
CategoryTheory.Equivalencestatement · cited by 601
CategoryTheory.Equivalence.symmproof · cited by 195
Equiv.uliftproof · cited by 115
CategoryTheory.Limits.WidePullbackShapestatement and proof · cited by 94
CategoryTheory.Equivalence.transproof · cited by 57
CategoryTheory.ULiftHomstatement · cited by 15
CategoryTheory.uliftCategorystatement · cited by 10
CategoryTheory.ULiftHomULiftCategory.equivproof · cited by 5
CategoryTheory.Limits.WidePullbackShape.equivalenceOfEquivproof · cited by 4

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