Theorems · Theorem · category theory
CategoryTheory.prod.leftInverseUnitor_map
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (f : X ⟶ Y),
(CategoryTheory.prod.leftInverseUnitor C).map f =
CategoryTheory.Prod.mkHom (CategoryTheory.CategoryStruct.id { as := PUnit.unit }) f- Defined in
- Mathlib.CategoryTheory.Products.Unitor
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
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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.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.Prod.mkHomstatement · cited by 108
- CategoryTheory.prod.leftInverseUnitorstatement and proof · cited by 8
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