2018-02-16 11:03:02 +00:00
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module Cat.Wishlist where
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2018-02-19 10:25:16 +00:00
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open import Level
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2018-02-16 11:03:02 +00:00
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open import Cubical.NType
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open import Data.Nat using (_≤_ ; z≤n ; s≤s)
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postulate ntypeCommulative : ∀ {ℓ n m} {A : Set ℓ} → n ≤ m → HasLevel ⟨ n ⟩₋₂ A → HasLevel ⟨ m ⟩₋₂ A
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2018-02-19 10:25:16 +00:00
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-- This follows from [HoTT-book: §7.1.10]
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-- Andrea says the proof is in `cubical` but I can't find it.
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postulate isSetIsProp : {ℓ : Level} → {A : Set ℓ} → isProp (isSet A)
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