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Cubical/Categories/Multicategories Expand file tree Collapse file tree 1 file changed +19
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lines changed Original file line number Diff line number Diff line change 1- module Cubical.Categories.Multicategories.Base where
1+ open import Cubical.Foundations.Prelude
2+
3+ open import Cubical.WildCat.Functor
4+ open import Cubical.WildCat.Monad
5+ open import Cubical.WildCat.Instances.Types
6+
7+ module Cubical.Categories.Multicategories.Base ℓ (T : WildMonad (TypeCat ℓ)) where
8+
9+ open WildFunctor (T .fst) renaming (F-ob to T-ob; F-hom to T-hom; F-id to T-id; F-seq to T-seq)
10+ open IsMonad (T .snd)
11+ open WildNatTrans η renaming (N-ob to η-ob; N-hom to η-hom)
12+ open WildNatTrans μ renaming (N-ob to μ-ob; N-hom to μ-hom)
13+
14+ record Multicategory ℓ' : Type (ℓ-suc (ℓ-max ℓ ℓ')) where
15+ no-eta-equality
16+ field
17+ Ob : Type ℓ
18+ Hom : T-ob Ob → Ob → Type ℓ'
19+ id : ∀ {x} → Hom (η-ob _ x) x
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