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Theorems · Inductive type · category theory

CategoryTheory.Limits.HasCountableLimits

(C : Type u_1) → [CategoryTheory.Category.{v_1, u_1} C] → Prop

A category has all countable limits if every functor J ⥤ C with a CountableCategory J instance and J : Type has a limit.

Defined in
Mathlib.CategoryTheory.Limits.Shapes.Countable
Cited by
1 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Assumes
CategoryTheory.Category
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Limits.HasCountableLimits.recOn · cited by 0HasCountableLimits.recOnCategoryTheory.Limits.HasCountableLimits.casesOn · cited by 0HasCountableLimits.casesOnCategoryTheory.Limits.HasCountableLimits.out · cited by 0HasCountableLimits.outCategoryTheory.Category · cited by 32673CategoryTheory.CategoryLimits.HasCountableLimitsCITED BYCITES

Cites1

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Cited by3

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