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https://github.com/Smaug123/agdaproofs
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Rem unused opens in Safe (#93)
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@@ -1,18 +1,12 @@
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{-# 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 Groups.Lemmas
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open import Rings.Definition
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open import Rings.Lemmas
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open import Rings.IntegralDomains.Definition
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open import Fields.Fields
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open import Functions
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open import Setoids.Setoids
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open import Sets.EquivalenceRelations
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open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
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module Fields.FieldOfFractions.Addition {a b : _} {A : Set a} {S : Setoid {a} {b} A} {_+_ : A → A → A} {_*_ : A → A → A} {R : Ring S _+_ _*_} (I : IntegralDomain R) where
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@@ -1,24 +1,15 @@
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{-# 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 Groups.Lemmas
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open import Rings.Definition
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open import Rings.Lemmas
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open import Rings.IntegralDomains.Definition
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open import Fields.Fields
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open import Functions
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open import Setoids.Setoids
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open import Sets.EquivalenceRelations
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open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
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module Fields.FieldOfFractions.Field {a b : _} {A : Set a} {S : Setoid {a} {b} A} {_+_ : A → A → A} {_*_ : A → A → A} {R : Ring S _+_ _*_} (I : IntegralDomain R) where
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open import Fields.FieldOfFractions.Setoid I
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open import Fields.FieldOfFractions.Addition I
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open import Fields.FieldOfFractions.Multiplication I
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open import Fields.FieldOfFractions.Ring I
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fieldOfFractions : Field fieldOfFractionsRing
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@@ -1,18 +1,12 @@
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{-# 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 Groups.Lemmas
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open import Rings.Definition
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open import Rings.Lemmas
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open import Rings.IntegralDomains.Definition
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open import Fields.Fields
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open import Functions
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open import Setoids.Setoids
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open import Sets.EquivalenceRelations
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open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
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module Fields.FieldOfFractions.Group {a b : _} {A : Set a} {S : Setoid {a} {b} A} {_+_ : A → A → A} {_*_ : A → A → A} {R : Ring S _+_ _*_} (I : IntegralDomain R) where
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@@ -1,28 +1,19 @@
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{-# 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.Homomorphisms.Definition
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open import Groups.Definition
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open import Groups.Lemmas
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open import Rings.Definition
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open import Rings.Lemmas
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open import Rings.Homomorphisms.Definition
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open import Rings.IntegralDomains.Definition
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open import Fields.Fields
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open import Functions
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open import Setoids.Setoids
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open import Sets.EquivalenceRelations
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open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
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module Fields.FieldOfFractions.Lemmas {a b : _} {A : Set a} {S : Setoid {a} {b} A} {_+_ : A → A → A} {_*_ : A → A → A} {R : Ring S _+_ _*_} (I : IntegralDomain R) where
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open import Fields.FieldOfFractions.Setoid I
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open import Fields.FieldOfFractions.Addition I
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open import Fields.FieldOfFractions.Multiplication I
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open import Fields.FieldOfFractions.Ring I
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open import Fields.FieldOfFractions.Field I
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embedIntoFieldOfFractions : A → fieldOfFractionsSet
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embedIntoFieldOfFractions a = a ,, (Ring.1R R , IntegralDomain.nontrivial I)
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@@ -1,18 +1,11 @@
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{-# 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 Groups.Lemmas
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open import Rings.Definition
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open import Rings.Lemmas
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open import Rings.IntegralDomains.Definition
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open import Fields.Fields
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open import Functions
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open import Setoids.Setoids
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open import Sets.EquivalenceRelations
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open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
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module Fields.FieldOfFractions.Multiplication {a b : _} {A : Set a} {S : Setoid {a} {b} A} {_+_ : A → A → A} {_*_ : A → A → A} {R : Ring S _+_ _*_} (I : IntegralDomain R) where
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@@ -1,22 +1,17 @@
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{-# 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 Groups.Lemmas
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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.Orders.Total.Definition
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open import Rings.Orders.Total.Lemmas
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open import Rings.Lemmas
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open import Rings.IntegralDomains.Definition
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open import Fields.Fields
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open import Functions
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open import Setoids.Setoids
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open import Setoids.Orders
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open import Sets.EquivalenceRelations
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open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
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module Fields.FieldOfFractions.Order {a b c : _} {A : Set a} {S : Setoid {a} {b} A} {_+_ : A → A → A} {_*_ : A → A → A} {R : Ring S _+_ _*_} {_<_ : Rel {_} {c} A} {pOrder : SetoidPartialOrder S _<_} {pRing : PartiallyOrderedRing R pOrder} (I : IntegralDomain R) (order : TotallyOrderedRing pRing) where
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@@ -1,18 +1,12 @@
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{-# 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 Groups.Lemmas
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open import Rings.Definition
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open import Rings.Lemmas
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open import Rings.IntegralDomains.Definition
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open import Fields.Fields
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open import Functions
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open import Setoids.Setoids
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open import Sets.EquivalenceRelations
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open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
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module Fields.FieldOfFractions.Ring {a b : _} {A : Set a} {S : Setoid {a} {b} A} {_+_ : A → A → A} {_*_ : A → A → A} {R : Ring S _+_ _*_} (I : IntegralDomain R) where
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@@ -1,13 +1,7 @@
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{-# 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 Groups.Lemmas
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open import Rings.Definition
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open import Rings.Lemmas
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open import Fields.Fields
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open import Functions
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open import Setoids.Setoids
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open import Sets.EquivalenceRelations
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open import Rings.IntegralDomains.Definition
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