Theorems · Theorem · category theory
CategoryTheory.Limits.hasProductsOfShape_of_small
∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] (β : Type w₂) [Small.{w₁, w₂} β]
[CategoryTheory.Limits.HasProducts C], CategoryTheory.Limits.HasProductsOfShape β C- Cited by
- 2 results in Mathlib
- Foundations
- Depth 38 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
- Equiv.symmproof · cited by 3,681
- Smallstatement and proof · cited by 369
- equivShrinkproof · cited by 118
- CategoryTheory.Limits.HasProductsstatement and proof · cited by 103
- CategoryTheory.Limits.HasProductsOfShapestatement · cited by 63
- CategoryTheory.Discrete.equivalenceproof · cited by 33
- CategoryTheory.Limits.hasLimitsOfShape_of_equivalenceproof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.hasInitial_of_isCoseparatingproof · cited by 2
- CategoryTheory.Abelian.has_injective_coseparatorproof · cited by 1