Theorems · Definition · category theory
CategoryTheory.prod.etaIso
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{D : Type u₂} → [inst_1 : CategoryTheory.Category.{v₂, u₂} D] → (X : C × D) → (X.1, X.2) ≅ XThe isomorphism between (X.1, X.2) and X.
- Defined in
- Mathlib.CategoryTheory.Products.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Prod.mkHomproof · cited by 108
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Sum.functorEquivproof · cited by 31
- CategoryTheory.functorProdFunctorEquivCounitIsoproof · cited by 3
- CategoryTheory.functorProdFunctorEquivUnitIsoproof · cited by 3
- CategoryTheory.prod.etaIso_homstatement and proof · cited by 0
- CategoryTheory.prod.etaIso_invstatement and proof · cited by 0
- CategoryTheory.Sum.functorEquiv_counitIsostatement · cited by 0