Theorems · Theorem · category theory
CategoryTheory.IsCofiltered.of_hasFiniteLimits
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [CategoryTheory.Limits.HasFiniteLimits C],
CategoryTheory.IsCofiltered C- Defined in
- Mathlib.CategoryTheory.Filtered.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.IsCofilteredstatement · cited by 133
- CategoryTheory.FinCategoryproof · cited by 107
- CategoryTheory.Limits.limit.coneproof · cited by 97
- CategoryTheory.Limits.HasFiniteLimitsstatement and proof · cited by 36
- CategoryTheory.IsCofiltered.of_cone_nonemptyproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.flat_of_preservesFiniteLimitsproof · cited by 4