Theorems · Theorem · category theory
CategoryTheory.Limits.hasProductsOfShape_of_opposite
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] (X : Type v₂)
[CategoryTheory.Limits.HasCoproductsOfShape X Cᵒᵖ], CategoryTheory.Limits.HasProductsOfShape X C- Cited by
- 2 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Limits.HasProductsOfShapestatement · cited by 63
- CategoryTheory.Limits.HasCoproductsOfShapestatement and proof · cited by 29
- CategoryTheory.Limits.hasLimitsOfShape_of_hasColimitsOfShape_opproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.hasProducts_of_oppositeproof · cited by 1
- CategoryTheory.Limits.hasFiniteProducts_of_oppositeproof · cited by 0