exact_couple
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@ -37,8 +37,8 @@ definition homology_ugly {B : AbGroup} (d : B →g B) (H : is_differential d) :
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definition homology_iso_ugly {B : AbGroup} (d : B →g B) (H : is_differential d) : (homology d H) ≃g (homology_ugly d H) :=
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begin
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-- fapply quotientgroupiso ...
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exact sorry
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fapply @iso_of_ab_qg_group (ab_kernel d) (image_subgroup (ab_subgroup_of_subgroup_incl (diff_im_in_ker d H))) (image_subgroup_of_diff d H),
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end
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definition SES_iso_C {A B C C' : AbGroup} (ses : SES A B C) (k : C ≃g C') : SES A B C' :=
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