pyrites/agda-experiments/HoTT-UF-Agda.agda

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Agda
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2026-01-12 18:01:36 +00:00
{-# OPTIONS --without-K --exact-split --safe --auto-inline #-}
module HoTT-UF-Agda where
open import Universes public
-- variable
-- 𝓤 𝓥 𝓦 𝓣 : Universe
-- data 𝟙 : 𝓤₀ ̇ where
-- ⋆ : 𝟙
-- 𝟙-induction : (A : 𝟙 → 𝓤̇ ) → A ⋆ → (x : 𝟙) → A x
-- 𝟙-induction A a ⋆ = a
-- 𝟙-induction : (A : 𝟙𝓤 ̇) → A ⋆ → (x : 𝟙) → A x
-- 𝟙-induction A a ⋆ = a
-- 𝟙-induction : (A : 𝟙𝓤 ̇) → A ⋆ → (x : 𝟙) → A x
-- 𝟙-induction A a ⋆ = a
variable
𝓤 𝓥 𝓦 𝓣 : Universe
data 𝟙 : 𝓤₀ ̇ where
: 𝟙
𝟙-induction : (A : 𝟙 𝓤̇ ) A (x : 𝟙) A x
𝟙-induction A a = a