Theorems · Theorem · category theory

CategoryTheory.Equivalence.isCardinalAccessibleCategory

∀ {C : Type u} {D : Type u'} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Category.{v', u'} D]
  (e : C ≌ D) (κ : Cardinal.{w}) [inst_2 : Fact κ.IsRegular] [CategoryTheory.IsCardinalAccessibleCategory C κ],
  CategoryTheory.IsCardinalAccessibleCategory D κ

Defined in: Mathlib.CategoryTheory.Presentable.Adjunction
Cited by: 1 results in Mathlib
Foundations: Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category Fact CategoryTheory.IsCardinalAccessibleCategory

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Cites8

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
Factstatement and proof · cited by 2,726
Cardinalstatement and proof · cited by 2,598
CategoryTheory.Equivalencestatement and proof · cited by 601
Cardinal.IsRegularstatement and proof · cited by 282
CategoryTheory.Equivalence.toAdjunctionproof · cited by 60
CategoryTheory.IsCardinalAccessibleCategorystatement and proof · cited by 8
CategoryTheory.Adjunction.isCardinalAccessibleCategoryproof · cited by 1

Cited by1

Results whose statement or proof uses this declaration.

CategoryTheory.Equivalence.isAccessibleCategoryproof · cited by 0