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feat(category_theory/adjunction): complete well-powered category with a coseparating set is cocomplete

Open TwoFX opened this issue 3 years ago • 1 comments

This corollary of the special adjoint functor theorem immediately implies that Grothendieck categories are complete, which, according to the Wikipedia article on Grothendieck categories, is "a rather deep result".


  • [x] depends on: #15796
  • [ ] depends on: #15859
  • [ ] depends on: #15912
  • [ ] depends on: #15981
  • [ ] depends on: #15987

Open in Gitpod

TwoFX avatar Aug 10 '22 20:08 TwoFX

This PR/issue depends on:

  • ~~leanprover-community/mathlib#15796~~
  • ~~leanprover-community/mathlib#15859~~
  • ~~leanprover-community/mathlib#15912~~
  • ~~leanprover-community/mathlib#15981~~
  • ~~leanprover-community/mathlib#15987~~ By Dependent Issues (🤖). Happy coding!

Pull request successfully merged into master.

Build succeeded:

bors[bot] avatar Aug 31 '22 17:08 bors[bot]