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Define combinators for Ω #43

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ayberkt opened this issue Mar 5, 2021 · 2 comments · Fixed by #48
Closed

Define combinators for Ω #43

ayberkt opened this issue Mar 5, 2021 · 2 comments · Fixed by #48

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@ayberkt
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ayberkt commented Mar 5, 2021

It is often convenient to have combinators for Ω, for instance

_∧_ : Ω 𝓤  Ω 𝓥  Ω (𝓤 ⊔ 𝓥)
P ∧ Q = (P holds × Q holds) , γ
 where
  γ = ×-is-prop (holds-is-prop P) (holds-is-prop Q)

agda/cubical has these defined in this module. It might be a good idea to do something similar in TypeTopology.

@ayberkt
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ayberkt commented Mar 9, 2021

I defined some of these here:

https://github.com/ayberkt/TypeTopology/blob/e23b05dffe61d5aa01436a3378de0bfe63a117fb/source/Frame.lagda#L52-L65

I can send a PR creating a module with these if you are happy with the syntax.

@martinescardo
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Yes, please. Thanks.

martinescardo added a commit that referenced this issue Mar 10, 2021
Add combinators for Ω (addresses #43)
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2 participants