Theorems · Theorem · category theory
CategoryTheory.IsFiltered.of_hasFiniteColimits
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [CategoryTheory.Limits.HasFiniteColimits C],
CategoryTheory.IsFiltered C- Defined in
- Mathlib.CategoryTheory.Filtered.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorproof · cited by 16,252
- CategoryTheory.SmallCategoryproof · cited by 480
- CategoryTheory.IsFilteredstatement · cited by 210
- CategoryTheory.Limits.colimit.coconeproof · cited by 136
- CategoryTheory.FinCategoryproof · cited by 107
- CategoryTheory.Limits.HasFiniteColimitsstatement and proof · cited by 34
- CategoryTheory.IsFiltered.of_cocone_nonemptyproof · cited by 3
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