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lines changed Original file line number Diff line number Diff line change @@ -566,7 +566,7 @@ module _
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neg-right-subtraction-Ab = inv-right-div-Group (group-Ab A)
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```
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- ### If ` x + y = 0 ` , ` y = -x ` and ` x = -y `
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+ ### If ` x + y = 0 ` , then ` y = -x ` and ` x = -y `
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``` agda
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module _
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is-unit-right-div-eq-Group refl = right-inverse-law-mul-Group G _
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```
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- ### If ` xy = 1 ` , ` y = x⁻¹ `
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+ ### If ` xy = 1 ` , then ` y = x⁻¹ `
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``` agda
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abstract
@@ -512,7 +512,7 @@ module _
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by right-unit-law-mul-Group G (inv-Group G x)
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```
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- ### If ` xy = 1 ` , ` x = y⁻¹ `
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+ ### If ` xy = 1 ` , then ` x = y⁻¹ `
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``` agda
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unique-left-inv-Group :
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- # Linear maps between modules over rings
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+ # Linear maps between left modules over rings
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``` agda
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module ring-theory.linear-maps-modules-rings where
@@ -27,7 +27,7 @@ open import ring-theory.rings
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## Idea
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A
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- {{#concept "linear map" Agda=is-linear-map-left-module-Ring Disambiguation="over modules" WD="linear map" WDID=Q207643 }}
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+ {{#concept "linear map" Agda=is-linear-map-left-module-Ring Disambiguation="of left modules over a ring " WD="linear map" WDID=Q207643 }}
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between [ modules] ( ring-theory.modules-rings.md ) is a map ` f ` with the following
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properties:
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