diff --git a/LeanCondensed/Projects/AB.lean b/LeanCondensed/Projects/AB.lean index 6ada322..059e4f5 100644 --- a/LeanCondensed/Projects/AB.lean +++ b/LeanCondensed/Projects/AB.lean @@ -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