[Merged by Bors] - feat(CategoryTheory/Abelian): the exact sequence attached to a pushout square#22110
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[Merged by Bors] - feat(CategoryTheory/Abelian): the exact sequence attached to a pushout square#22110
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PR summary ac998a920aImport changes for modified filesNo significant changes to the import graph Import changes for all files
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Thanks! bors merge |
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…t square (#22110) We attach an exact sequence `X₁ ⟶ X₂ ⊞ X₃ ⟶ X₄ ⟶ 0` to a pushout square.
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* origin/master: (823 commits) chore(Computability): fix naming of lemmas about Sum.inl, Sum.inr, Sum.casesOn (#22156) feat: `Fintype Ordering` (#22154) chore: more renamings to fit the naming convention (#22148) feat(CategoryTheory): any monomorphism in a Grothendieck abelian category is a transfinite composition of pushouts of monomorphisms in a small family (#22157) chore: rename `{Continuous., continuous_}sum_map` to `sumMap` (#22155) chore: remove initial space followed by `-/` (#22158) chore: make arg in HeightOneSpectrum.valuation explicit (#22139) feat(Data/List): `List.maximum` is monotone (#22091) chore(Combinatorics/SimpleGraph): extract WalkDecomp from Walk (#21981) feat: if a monoid M acts, then so does (s : S) with [SubmonoidClass S M] (#21123) chore: backport changes to `getElem` lemmas (#22146) feat(CategoryTheory): generating monomorphisms in Grothendieck abelian categories (#22150) feat: rename variables to fit doc (#22143) feat(CategoryTheory): IsDetecting.isIso_iff_of_mono (#22135) feat(CategoryTheory): truncations of transfinite compositions (#22149) chore: simplify a proof (#22134) feat(CategoryTheory): monomorphisms are stable under coproducts in Grothendieck abelian categories (#22133) feat(Order): Set.Ici.isSuccLimit_coe (#22103) chore(Analysis/Convex/Normed): split into smaller files (#22015) feat(Algebra/Algebra/Lie): max nilpotent ideal <= radical (#22140) refactor(LinearIndependent): refactor to use LinearIndepOn (#21886) chore: rename some more `Foo.sum_elim` -> `sumElim` (#22130) chore: rename Injective.sum_elim and friends (#22129) chore: fix naming oversight from #22070 (#22128) chore: fix spelling mistakes (#22136) feat(RingTheory/Ideal/Quotient): define transtition map between ring or module quotient by powers of ideal (#21900) fix: initialize_simps_projections print warning when projection data already exists (#20339) chore: rename ContMDiff.sum_{elim,map} (#22131) feat(CategoryTheory): characterization of injective objects in terms of lifting properties (#22104) chore(Lean,Tactic): un-indent some doc-strings (#22118) feat(Algebra/MvPolynomial): add `comp` versions of rename lemmas (#21259) chose: add deprecation (#22124) feat(CategoryTheory/Abelian/GrothendieckCategory): computing colimits in Subobject (#22123) feat(CategoryTheory/Subobject): hasCardinalLT_of_mono (#22122) feat: add `DenseRange.piMap` (#22114) feat(Algebra/Algebra/Lie): define the maximal nilpotent ideal of Lie algebras (#22061) chore(Data/Finset): don't import algebra when defining `Finset.card` (#21866) feat: a function on a discrete space is smooth (#22113) feat: commutative group objects in additive categories (#21521) style(Geometry/Manifold): remove superfluous indentation in doc-strings (#22117) chore: rename PushNeg.lean to Push.lean (#22108) feat: add Is{Open,Closed}Embedding.sum_elim (#22070) feat(RingTheory/Perfectoid): define the untilt map and generalize pretilt (#21563) feature(Topology/Algebra/Module/WeakBilin): Linear map from F into the topological dual of E with the weak topology (#21078) feat(CategoryTheory/Abelian): the exact sequence attached to a pushout square (#22110) chore(ChartedSpace.lean): group constructions together (#22107) feat(CategoryTheory/MorphismProperty): more basic API (#22099) chore(Data/Fintype): split `Fintype/Card.lean` (#21840) chore(SetTheory/Cardinal/Cofinality): make `IsStrongLimit` into a structure (#21971) feat(Combinatorics/SimpleGraph): Add a theorem about cliques in induced subgraphs (#20705) ...
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We attach an exact sequence
X₁ ⟶ X₂ ⊞ X₃ ⟶ X₄ ⟶ 0to a pushout square.