Theorems · Theorem · category theory
CategoryTheory.Limits.Sigma.functor_map
∀ (α : Type w₂) {C : Type u} [inst : CategoryTheory.Category.{v, u} C]
[inst_1 : CategoryTheory.Limits.HasCoproductsOfShape α C] {f g : α → C} (t : f ⟶ g),
(CategoryTheory.Limits.Sigma.functor α).map t = CategoryTheory.Limits.Sigma.map t- Cited by
- 0 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.Limits.sigmaObjstatement · cited by 302
- CategoryTheory.Limits.HasCoproductsOfShapestatement and proof · cited by 29
- CategoryTheory.Limits.Sigma.mapstatement · cited by 14
- CategoryTheory.Limits.Sigma.functorstatement and proof · cited by 10
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.