[Merged by Bors] - feat(CategoryTheory/Limits/MonoCoprod): inclusions of subcoproducts are mono #10400
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Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
Co-authored-by: Christian Merten <136261474+chrisflav@users.noreply.github.com>
Co-authored-by: Christian Merten <136261474+chrisflav@users.noreply.github.com>
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…re mono (#10400) In this PR, it is shown that when suitable coproducts exists in a category satisfying `[MonoCoprod C]`, then if `X : I → C` and `ι : J → I` is an injective map, the canonical morphism `∐ (X ∘ ι) ⟶ ∐ X` is a monomorphism. Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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…re mono (#10400) In this PR, it is shown that when suitable coproducts exists in a category satisfying `[MonoCoprod C]`, then if `X : I → C` and `ι : J → I` is an injective map, the canonical morphism `∐ (X ∘ ι) ⟶ ∐ X` is a monomorphism. Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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In this PR, it is shown that when suitable coproducts exists in a category satisfying
[MonoCoprod C], then ifX : I → Candι : J → Iis an injective map, the canonical morphism∐ (X ∘ ι) ⟶ ∐ Xis a monomorphism.