JoelSjogren

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Sep 26th, 2017
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  1. record Ord (A : Set) : Set₁ where
  2. field
  3. _≤_ _>_ : A → A → Set
  4. _≤≤_ : {a₀ a₁ a₂ : A} → a₀ ≤ a₁ → a₁ ≤ a₂ → a₀ ≤ a₂
  5. _>>_ : {a₀ a₁ a₂ : A} → a₀ > a₁ → a₁ > a₂ → a₀ > a₂
  6. _∀≤∨>_ : (a₀ a₁ : A) → a₀ ≤ a₁ ∨ a₀ > a₁
  7. _∄≤∧>_ : {a₀ a₁ : A} → a₀ ≤ a₁ → a₀ > a₁ → ⊥
  8. ≤zero : {a : A} → a ≤ a
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