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Theorems · Theorem · category theory

CategoryTheory.Limits.reflectsColimitsOfSize_shrink

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (F : CategoryTheory.Functor C D)
  [CategoryTheory.Limits.ReflectsColimitsOfSize.{max w w₂, max w' w₂', v₁, v₂, u₁, u₂} F],
  CategoryTheory.Limits.ReflectsColimitsOfSize.{w, w', v₁, v₂, u₁, u₂} F

reflectsColimitsOfSize_shrink.{w w'} F tries to obtain reflectsColimitsOfSize.{w w'} F from some other reflectsColimitsOfSize F.

Defined in
Mathlib.CategoryTheory.Limits.Preserves.Basic
Cited by
1 results in Mathlib
Foundations
Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.ReflectsColimitsOfSize
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CategoryTheory.Limits.reflectsSmallestColimits_of_reflectsColimits · cited by 0Limits.reflectsSmallestCo…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Limits.ReflectsColimitsOfSize · cited by 24Limits.ReflectsColimitsOf…CategoryTheory.Limits.reflectsColimitsOfSize_of_univLE · cited by 1Limits.reflectsColimitsOf…Limits.reflectsColimitsOfSize…CITED BYCITES

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