/caterwaul/Category/extractSemigroupoid

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Source

let kCat = ./Cat/semigroupal

let vObject = Type

in λ(object : Kind) →
λ(v : ./Monoidal/Kind kCat Type vObject) →
λ(cat : ./Kind kCat vObject object) →
λ(category : ./Type object v cat) →
category.{ product, hom } : ../Semigroupoid/Type object v cat cat.arrow