feat(category_theory/limits): the isomorphism expressing preservation of chosen limits #2192
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… of chosen limits
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… of chosen limits (#2192) * feat(category_theory/limits): the isomorphism expressing preservation of chosen limits * Update src/category_theory/limits/limits.lean Co-authored-by: Johan Commelin <johan@commelin.net> Co-authored-by: mergify[bot] <37929162+mergify[bot]@users.noreply.github.com>
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… of chosen limits (leanprover-community#2192) * feat(category_theory/limits): the isomorphism expressing preservation of chosen limits * Update src/category_theory/limits/limits.lean Co-authored-by: Johan Commelin <johan@commelin.net> Co-authored-by: mergify[bot] <37929162+mergify[bot]@users.noreply.github.com>
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… of chosen limits (leanprover-community#2192) * feat(category_theory/limits): the isomorphism expressing preservation of chosen limits * Update src/category_theory/limits/limits.lean Co-authored-by: Johan Commelin <johan@commelin.net> Co-authored-by: mergify[bot] <37929162+mergify[bot]@users.noreply.github.com>
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The type class
preserves_limitsis written in terms of theis_limitsdata, but had not been related to thehas_limitstypeclass, which expresses a particular chosen limit for a functor.The function
preserves_limit_isogives the isomorphism between the image of the chosen limit,F.obj (limit K), and the chosen limit of the composed functor,limit (K ⋙ F).