Theorems · Definition · category theory

CategoryTheory.Join.inclLeft

(C : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    (D : Type u₂) → [inst_1 : CategoryTheory.Category.{v₂, u₂} D] → CategoryTheory.Functor C (CategoryTheory.Join C D)

The canonical inclusion from C to C ⋆ D. Terms of the form (inclLeft C D).map f should be treated as primitive when working with joins and one should avoid trying to reduce them. For this reason, there is no inclLeft_map simp lemma.

Defined in

Mathlib.CategoryTheory.Join.Basic

Cited by

74 results in Mathlib

Foundations

Depth 12 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.Category