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