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https://github.com/Smaug123/agdaproofs
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26 lines
845 B
Agda
26 lines
845 B
Agda
{-# OPTIONS --safe --warning=error --without-K #-}
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open import LogicalFormulae
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open import Groups.Groups
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open import Groups.Definition
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open import Rings.Definition
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open import Rings.Orders.Partial.Definition
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open import Rings.Lemmas
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open import Setoids.Setoids
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open import Setoids.Orders
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open import Orders
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open import Functions
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open import Sets.EquivalenceRelations
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open import Fields.Fields
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open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
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module Fields.Orders.Partial.Definition {m n : _} {A : Set m} {S : Setoid {m} {n} A} {_+_ : A → A → A} {_*_ : A → A → A} {R : Ring S _+_ _*_} (F : Field R) where
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open Ring R
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open import Fields.Lemmas F
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record PartiallyOrderedField {p} {_<_ : Rel {_} {p} A} (pOrder : SetoidPartialOrder S _<_) : Set (lsuc (m ⊔ n ⊔ p)) where
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field
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oRing : PartiallyOrderedRing R pOrder
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