some work, I guess
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@ -284,6 +284,8 @@ namespace group
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definition image_incl {G H : Group} (f : G →g H) : image f →g H :=
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incl_of_subgroup (image_subgroup f)
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definition comm_image_incl {A B : CommGroup} (f : A →g B) : comm_image f →g B := incl_of_subgroup (image_subgroup f)
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definition hom_lift {G H : Group} (f : G →g H) (K : subgroup_rel H) (Hyp : Π (g : G), K (f g)) : G →g subgroup K :=
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begin
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fapply homomorphism.mk,
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