Rem unused opens in Safe (#93)

This commit is contained in:
Patrick Stevens
2020-01-05 15:06:35 +00:00
committed by GitHub
parent 019a9d9a07
commit cbe55c9b56
169 changed files with 0 additions and 960 deletions

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@@ -1,19 +1,12 @@
{-# OPTIONS --safe --warning=error --without-K #-}
open import LogicalFormulae
open import Groups.Groups
open import Groups.Lemmas
open import Groups.Homomorphisms.Definition
open import Groups.Definition
open import Groups.Subgroups.Definition
open import Numbers.Naturals.Naturals
open import Setoids.Orders
open import Setoids.Setoids
open import Functions
open import Sets.EquivalenceRelations
open import Rings.Definition
open import Rings.Homomorphisms.Definition
open import Groups.Homomorphisms.Lemmas
open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)

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@@ -1,14 +1,10 @@
{-# OPTIONS --safe --warning=error --without-K #-}
open import LogicalFormulae
open import Groups.Groups
open import Groups.Homomorphisms.Definition
open import Groups.Definition
open import Groups.Lemmas
open import Numbers.Naturals.Naturals
open import Setoids.Orders
open import Setoids.Setoids
open import Functions
open import Sets.EquivalenceRelations
open import Rings.Definition
open import Rings.Homomorphisms.Definition
@@ -18,7 +14,6 @@ open import Rings.Cosets
open import Rings.Isomorphisms.Definition
open import Groups.Isomorphisms.Definition
open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
module Rings.Ideals.FirstIsomorphismTheorem {a b c d : _} {A : Set a} {B : Set c} {S : Setoid {a} {b} A} {T : Setoid {c} {d} B} {_+A_ _*A_ : A A A} {_+B_ _*B_ : B B B} {R1 : Ring S _+A_ _*A_} {R2 : Ring T _+B_ _*B_} {f : A B} (hom : RingHom R1 R2 f) where

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@@ -1,25 +1,19 @@
{-# OPTIONS --safe --warning=error --without-K #-}
open import LogicalFormulae
open import Groups.Groups
open import Groups.Homomorphisms.Definition
open import Groups.Definition
open import Numbers.Naturals.Naturals
open import Setoids.Orders
open import Setoids.Setoids
open import Functions
open import Sets.EquivalenceRelations
open import Rings.Definition
open import Rings.Homomorphisms.Definition
open import Groups.Homomorphisms.Lemmas
open import Groups.Subgroups.Definition
open import Rings.Homomorphisms.Kernel
open import Rings.Cosets
open import Groups.Lemmas
open import Setoids.Functions.Lemmas
open import Rings.Ideals.Definition
open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
module Rings.Ideals.Lemmas {a b : _} {A : Set a} {S : Setoid {a} {b} A} {_+_ _*_ : A A A} (R : Ring S _+_ _*_) where

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@@ -1,13 +1,8 @@
{-# OPTIONS --safe --warning=error --without-K #-}
open import LogicalFormulae
open import Groups.Groups
open import Groups.Lemmas
open import Groups.Definition
open import Setoids.Setoids
open import Rings.Definition
open import Rings.Lemmas
open import Sets.EquivalenceRelations
open import Rings.Ideals.Definition
open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)

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@@ -1,18 +1,14 @@
{-# OPTIONS --safe --warning=error --without-K #-}
open import LogicalFormulae
open import Groups.Groups
open import Groups.Cosets
open import Groups.Homomorphisms.Definition
open import Rings.Homomorphisms.Definition
open import Groups.Lemmas
open import Groups.Definition
open import Setoids.Setoids
open import Setoids.Subset
open import Setoids.Functions.Definition
open import Setoids.Functions.Lemmas
open import Rings.Definition
open import Rings.Lemmas
open import Sets.EquivalenceRelations
open import Rings.Ideals.Definition
open import Fields.Fields
@@ -28,7 +24,6 @@ open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
module Rings.Ideals.Maximal.Lemmas {a b : _} {A : Set a} {S : Setoid {a} {b} A} {_+_ _*_ : A A A} {R : Ring S _+_ _*_} {c : _} {pred : A Set c} (i : Ideal R pred) where
open import Rings.Divisible.Definition R
open Ring R
open Group additiveGroup

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@@ -1,16 +1,8 @@
{-# OPTIONS --safe --warning=error --without-K #-}
open import LogicalFormulae
open import Groups.Groups
open import Groups.Lemmas
open import Groups.Definition
open import Numbers.Naturals.Naturals
open import Setoids.Setoids
open import Functions
open import Rings.Definition
open import Rings.Lemmas
open import Sets.EquivalenceRelations
open import Fields.Fields
open import Rings.Ideals.Definition
open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)

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@@ -1,19 +1,15 @@
{-# OPTIONS --safe --warning=error --without-K #-}
open import LogicalFormulae
open import Groups.Groups
open import Groups.Lemmas
open import Groups.Definition
open import Setoids.Setoids
open import Rings.Definition
open import Sets.EquivalenceRelations
open import Rings.Ideals.Definition
open import Rings.IntegralDomains.Definition
open import Rings.IntegralDomains.Lemmas
open import Rings.Ideals.Prime.Definition
open import Rings.Cosets
open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
module Rings.Ideals.Prime.Lemmas {a b : _} {A : Set a} {S : Setoid {a} {b} A} {_+_ _*_ : A A A} {R : Ring S _+_ _*_} {c : _} {pred : A Set c} (i : Ideal R pred) where

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@@ -1,10 +1,6 @@
{-# OPTIONS --safe --warning=error --without-K #-}
open import LogicalFormulae
open import Setoids.Orders
open import Setoids.Setoids
open import Functions
open import Sets.EquivalenceRelations
open import Rings.Definition
open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)

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@@ -1,13 +1,9 @@
{-# OPTIONS --safe --warning=error --without-K #-}
open import LogicalFormulae
open import Setoids.Orders
open import Setoids.Setoids
open import Functions
open import Sets.EquivalenceRelations
open import Rings.Definition
open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
module Rings.Ideals.Principal.Lemmas {a b : _} {A : Set a} {S : Setoid {a} {b} A} {_+_ _*_ : A A A} (R : Ring S _+_ _*_) where