Theorems · Definition · general topology

LightProfinite.limitConeIsLimit

{J : Type v} →
  [inst : CategoryTheory.SmallCategory J] →
    [inst_1 : CategoryTheory.CountableCategory J] →
      (F : CategoryTheory.Functor J LightProfinite) → CategoryTheory.Limits.IsLimit (LightProfinite.limitCone F)

The limit cone LightProfinite.limitCone F is indeed a limit cone.

Defined in: Mathlib.Topology.Category.LightProfinite.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.SmallCategory CategoryTheory.CountableCategory

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CategoryTheory.CategoryStruct.compproof · cited by 17,999
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TopCatstatement · cited by 1,889
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CategoryTheory.InducedCategory.Hom.homproof · cited by 850
SecondCountableTopologystatement · cited by 750
CategoryTheory.Limits.Coneproof · cited by 710
CategoryTheory.Limits.IsLimitstatement · cited by 664

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