Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.strictLimitsClosureStep_strictLimitsClosureIter_eq_self

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P : CategoryTheory.ObjectProperty C) {α : Type t}
  (J : α → Type u') [inst_1 : (a : α) → CategoryTheory.Category.{v', u'} (J a)] (κ : Cardinal.{w}) [Fact κ.IsRegular],
  (∀ (a : α), HasCardinalLT (J a) κ) →
    (P.strictLimitsClosureIter J κ.ord).strictLimitsClosureStep J = P.strictLimitsClosureIter J κ.ord

Defined in

Mathlib.CategoryTheory.ObjectProperty.LimitsClosure

Cited by

1 results in Mathlib

Foundations

Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryFact