Zulip Chat Archive

Stream: Is there code for X?

Topic: Horseshoe lemma


Edison Xie (Feb 27 2026 at 13:42):

Has the Horseshoe lemma landed in mathlib yet? i.e given a short exact sequence and injective resolutions of first and last term, there exists an injective resolution of the second term such that the three injective resolutions form a short exact sequence.

Edison Xie (Feb 27 2026 at 13:46):

@Joël Riou do you know anything about this? :-)

Joël Riou (Feb 27 2026 at 14:09):

It was in some form in #12438 but it never made it into mathlib.
(Note that this will not be required for the long exact sequence of right derived functors: the derived category mechanisms will give connecting homomorphisms which do not depend on any choice of injective resolutions.)


Last updated: Feb 28 2026 at 14:05 UTC