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Co-authored-by: Fredrik Bakke <[email protected]>
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src/group-theory/abelian-groups.lagda.md

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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 _

src/group-theory/groups.lagda.md

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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
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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 :

src/ring-theory/linear-maps-modules-rings.lagda.md

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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
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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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