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{-# 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
}
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