[Merged by Bors] - feat(CategoryTheory/Limits/Fubini): relax HasLimits hypotheses#20570
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[Merged by Bors] - feat(CategoryTheory/Limits/Fubini): relax HasLimits hypotheses#20570robin-carlier wants to merge 6 commits intomasterfrom
HasLimits hypotheses#20570robin-carlier wants to merge 6 commits intomasterfrom
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PR summary ebb143f8e9Import changes for modified filesNo significant changes to the import graph Import changes for all files
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Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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) Add a proof that one can construct a limit cone for a functor `(G : J × K ⥤ C)` out of a limit cone for `curry.obj G ⋙ lim` (provided the latter makes sense). From this deduce that `C` has limits of shape `J × K` if it has limits of shape `J` and of shape `K`. Remove the now unnecessary assumptions in the Fubini theorem for limits. All statements have their colimit counterpart.
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HasLimits hypothesesHasLimits hypotheses
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* origin/master: chore(*): add `@[fun_prop]` (#22183) chore(RingTheory): generalize universes for `isUnramified_iff_map_eq` (#22185) chore(Algebra/GroupPower/IterateHom): move all lemmas earlier (#22132) feat(Probability): ae filter and integrability wrt a composition of kernel and measure (#22074) feat(CategoryTheory): forgetting the group structure on the codomain of left-exact functors (#21973) feat(CategoryTheory): embeddings for opposites of Grothendieck abelian categories (#22182) feat(CategoryTheory): `AsSmall C` is abelian (#22184) feat(CategoryTheory): explicit argument versions of `epi_comp` and `mono_comp` (#22181) feat(Topology/Instances/EReal/Lemmas): add lemmas about limsup and multiplication (#21833) feat: basic structural lemmas about finite crystallographic root pairings. (#21932) Rename `Mem𝓛p` to `MemLp` (#22164) feat(Logic/Equiv): Upgrade arrowProdEquivProdArrow to dependent types (#21518) feat(CategoryTheory): Grothendieck abelian categories have enough injectives (#20079) chore: deprecate Finite.cast_card_eq_mk (#22161) feat(CategoryTheory/Limits/Fubini): relax `HasLimits` hypotheses (#20570) chore(Algebra/Order/Monoid/Unbundled/WithTop): golf, clean up (#22109)
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Add a proof that one can construct a limit cone for a functor
(G : J × K ⥤ C)out of a limit cone forcurry.obj G ⋙ lim(provided the latter makes sense). From this deduce thatChas limits of shapeJ × Kif it has limits of shapeJand of shapeK. Remove the now unnecessary assumptions in the Fubini theorem for limits. All statements have their colimit counterpart.