Merge branch 'master' of https://github.com/cmu-phil/Spectral
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1 changed files with 10 additions and 6 deletions
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@ -108,6 +108,13 @@ definition differential_is_differential {A B : AbGroup} (EC : exact_couple A B)
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section derived_couple
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section derived_couple
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/-
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A - i -> A
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k ^ |
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B ====== B
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-/
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parameters {A B : AbGroup} (EC : exact_couple A B)
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parameters {A B : AbGroup} (EC : exact_couple A B)
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local abbreviation i := exact_couple.i EC
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local abbreviation i := exact_couple.i EC
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local abbreviation j := exact_couple.j EC
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local abbreviation j := exact_couple.j EC
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@ -132,9 +139,7 @@ definition SES_of_exact_couple_at_i : SES (ab_kernel i) A (ab_image i) :=
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end
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end
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definition kj_zero (a : A) : k (j a) = 1 :=
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definition kj_zero (a : A) : k (j a) = 1 :=
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begin
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is_exact.im_in_ker (exact_couple.exact_jk EC) a
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exact sorry
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end
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definition j_factor : A →g (ab_kernel d) :=
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definition j_factor : A →g (ab_kernel d) :=
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begin
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begin
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@ -147,7 +152,6 @@ begin
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... = 1 : to_respect_one,
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... = 1 : to_respect_one,
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end
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end
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definition derived_couple_j : derived_couple_A EC →g derived_couple_B EC :=
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definition derived_couple_j : derived_couple_A EC →g derived_couple_B EC :=
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begin
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begin
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exact sorry,
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exact sorry,
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