Add decorated cospans

1 files changed, 27 insertions, 0 deletions

diff --git a/Category/Cocomplete/Finitely/Bundle.agda b/Category/Cocomplete/Finitely/Bundle.agda
new file mode 100644
index 0000000..af40895
--- /dev/null
+++ b/Category/Cocomplete/Finitely/Bundle.agda
@@ -0,0 +1,27 @@
+{-# OPTIONS --without-K --safe #-}
+module Category.Cocomplete.Finitely.Bundle where
+
+open import Level
+open import Categories.Category.Core using (Category)
+open import Categories.Category.Cocomplete.Finitely using (FinitelyCocomplete)
+open import Category.Cocomplete.Finitely.SymmetricMonoidal using (module FinitelyCocompleteSymmetricMonoidal)
+open import Categories.Category.Monoidal.Bundle using (SymmetricMonoidalCategory)
+
+
+record FinitelyCocompleteCategory o ℓ e : Set (suc (o ⊔ ℓ ⊔ e)) where
+
+  field
+    U     : Category o ℓ e
+    finCo : FinitelyCocomplete U
+
+  open Category U public
+  open FinitelyCocomplete finCo public
+
+  open FinitelyCocompleteSymmetricMonoidal finCo using (+-monoidal; +-symmetric)
+
+  symmetricMonoidalCategory : SymmetricMonoidalCategory o ℓ e
+  symmetricMonoidalCategory = record
+      { U = U
+      ; monoidal = +-monoidal
+      ; symmetric = +-symmetric
+      }