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Structures: Pi -> pi

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Rachel Lambda Samuelsson 2022-10-09 01:13:18 +02:00
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src/CwF/Structures.lagda.md
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@ -5,9 +5,9 @@ open import CwF.Base
module CwF.Structures where module CwF.Structures where
``` ```
This file defines several additional structures a CwF might have, such as Pi types, universes, sigma types, and identity types. This file defines several additional structures a CwF might have, such as pi types, universes, sigma types, and identity types.
First are Pi types, because a type theory without them are pretty uninteresting. First are pi types, because a type theory without them are pretty uninteresting.
``` ```
record has-Pi {o h f : _} {𝓒 : Precategory o h} record has-Pi {o h f : _} {𝓒 : Precategory o h}
(cwf : is-CwF {o} {h} {f} 𝓒) : Type (lsuc (o ⊔ h ⊔ f)) where (cwf : is-CwF {o} {h} {f} 𝓒) : Type (lsuc (o ⊔ h ⊔ f)) where