Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.strictLimitsClosureIter_le_limitsClosure

∀ {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)] {β : Type w'} [inst_2 : LinearOrder β]
  [OrderBot β] [inst_4 : SuccOrder β] [inst_5 : WellFoundedLT β] (b : β),
  P.strictLimitsClosureIter J b ≤ P.limitsClosure J

Defined in

Mathlib.CategoryTheory.ObjectProperty.LimitsClosure

Cited by

1 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryLinearOrderOrderBotSuccOrderWellFoundedLT