Mathlib Map

Theorems · Definition · category theory

CategoryTheory.Limits.coprod

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] → (X Y : C) → [CategoryTheory.Limits.HasBinaryCoproduct X Y] → C

If we have a coproduct of X and Y, we can access it using coprod X Y or X ⨿ Y.

Defined in
Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts
Cited by
252 results in Mathlib
Foundations
Depth 15 from the axioms, rests on 83 definitions · uses propext, Classical.choice
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasBinaryCoproduct

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.

Cited by310

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 310.