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fix a name
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dagurtomas committed Jun 14, 2024
1 parent 73700ed commit 67ad313
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3 changes: 1 addition & 2 deletions LeanCondensed/Projects/AB.lean
Original file line number Diff line number Diff line change
Expand Up @@ -152,8 +152,7 @@ lemma abStar_iff_preserves_epi [HasLimitsOfShape I A] :
have := h F hh
exact this.epi_g

-- Stating and proving the converse of this lemma should be easy
lemma ab_of_preserves_mono [HasColimitsOfShape I A] :
lemma ab_iff_preserves_mono [HasColimitsOfShape I A] :
((∀ (F : I ⥤ ShortComplex A),
(∀ i, (F.obj i).ShortExact) → Mono (ShortComplex.colimitCocone F).pt.f)) ↔
HasExactColimitsOfShape I A := by
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