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Update Base.agda
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module Cubical.Categories.Multicategories.Base where
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open import Cubical.Foundations.Prelude
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open import Cubical.WildCat.Functor
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open import Cubical.WildCat.Monad
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open import Cubical.WildCat.Instances.Types
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module Cubical.Categories.Multicategories.Base ℓ (T : WildMonad (TypeCat ℓ)) where
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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)
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open IsMonad (T .snd)
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open WildNatTrans η renaming (N-ob to η-ob; N-hom to η-hom)
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open WildNatTrans μ renaming (N-ob to μ-ob; N-hom to μ-hom)
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record Multicategory ℓ' : Type (ℓ-suc (ℓ-max ℓ ℓ')) where
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no-eta-equality
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field
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Ob : Type ℓ
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Hom : T-ob Ob Ob Type ℓ'
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id : {x} Hom (η-ob _ x) x

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