Theorems · Theorem · category theory
CategoryTheory.IsSifted.isSiftedOrEmpty_of_colim_preservesFiniteProducts
∀ (C : Type u) [inst : CategoryTheory.SmallCategory C] [h : CategoryTheory.Limits.PreservesFiniteProducts CategoryTheory.Limits.colim], CategoryTheory.IsSiftedOrEmpty C
- Defined in
- Mathlib.CategoryTheory.Limits.Sifted
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.SmallCategorystatement and proof · cited by 480
- CategoryTheory.Limits.colimstatement and proof · cited by 89
- CategoryTheory.Limits.PreservesFiniteProductsstatement and proof · cited by 75
- CategoryTheory.IsSiftedOrEmptystatement · cited by 4
- CategoryTheory.IsSifted.isSiftedOrEmpty_of_colim_preservesBinaryProductsproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.IsSifted.of_colim_preservesFiniteProductsproof · cited by 1