[Merged by Bors] - feat(CategoryTheory): detecting limit cones over connected diagrams #22192
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PR summary 65f355ff29Import changes for modified filesNo significant changes to the import graph Import changes for all files
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joelriou
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Feb 22, 2025
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Thanks! bors d+ |
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Co-authored-by: Joël Riou <[email protected]>
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bors d+ |
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bors r+ |
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…22192) A cocone `c` over a connected diagram is a colimit cocone if and only if `colimMap c.ι` is an isomorphism (where `c.ι : F ⟶ const c.pt` is the natural transformation that defines the cocone). Co-authored-by: Markus Himmel <[email protected]>
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* origin/master: feat(Polynomial): polynomial sequences are bases for R[X] (#20846) feat: monoidal structure on Hopf algebras (#12011) feat(DiscreteValuationRing): addVal_eq_zero_iff (#21154) refactor(Cache): refactor getPackageDir to not use manually provided package directories (#21817) feat(CategoryTheory): categories of homological complexes have a separator (#20229) chore(Data/Complex): deprecate `Complex.abs` (#21995) feat: uncountable instances for `Ordinal` and isomorphic types (#18547) feat(Data/Set/Card): a few missing lemmas (#22186) feat: discrete topological spaces are 0-manifolds (#22105) feat(Data/Matroid/Loop): matroid loops (#22045) feat(SetTheory/Ordinal/Nimber/Field): Nimber division (#19066) feat(LinearAlgebra/Pi): add `pi_proj` and `pi_proj_comp` (#22162) feat(Data/Matroid/Circuit): matroid cocircuits (#21692) feat(Topology/Compactification/OnePoint): generalize instance (#22179) feat(Combinatorics/SimpleGraph): takeUntil properties (#21250) feat(Tactic): `pnat_to_nat` and `enat_to_nat` tactics (#21602) refactor: move `Polynomial.coeffs` and related results (#22225) chore: add AlgHom.ker_coe_equiv, resolve porting notes and erws (#22019) refactor(Order/Category): `ConcreteCategory` instance for `\omegaCPO` (#21478) feat(CategoryTheory): Grothendieck categories have a coseparator (#22224) feat: tweak calc widget (#22170) feat(CategoryTheory): the Freyd-Mitchell embedding theorem (#22222) chore(CategoryTheory): turn more `simp` into `simps!` (#22223) feat(CategoryTheory): the category of ind-objects is Grothendieck abelian (#21606) feat(AlgebraicTopology/SimplexCategory/GeneratorsRelations/EpiMono): epi-mono factorisation in `SimplexCategoryGenRel` (#21743) chore(CategoryTheory/DiscreteCategory): turn `simp` to `simps!` (#22217) feat(Analysis/Asymptotics): exponential growth of a sequence (#21178) feat(CategoryTheory): sigmaConst preserves monomorphisms (#21599) feat(RingTheory/Cotangent): `liftBaseChange` is injective for localizations (#21037) chore(CategoryTheory): fix incorrect name (#22210) feat(CategoryTheory): `IsPullback` version of 'pullback of iso is iso' (#22211) feat(CategoryTheory): pullbacks in functor categories (#22209) feat(CategoryTheory): detecting limit cones over connected diagrams (#22192) feat(LinearAlgebra): add theorems for injective/surjective/bijective compositions of bilinear maps (#21491)
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A cocone
cover a connected diagram is a colimit cocone if and only ifcolimMap c.ιis an isomorphism (wherec.ι : F ⟶ const c.ptis the natural transformation that defines the cocone).