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Theorems · Theorem · category theory

CategoryTheory.ShortComplex.Splitting.isSplitMono_f

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
  {S : CategoryTheory.ShortComplex C} (s : S.Splitting), CategoryTheory.IsSplitMono S.f
Defined in
Mathlib.Algebra.Homology.ShortComplex.Exact
Cited by
1 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext
Assumes
CategoryTheory.CategoryCategoryTheory.Preadditive
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.ShortComplex.Splitting.mono_f · cited by 1Splitting.mono_fCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Preadditive · cited by 3309CategoryTheory.PreadditiveCategoryTheory.ShortComplex · cited by 1850CategoryTheory.ShortCompl…CategoryTheory.ShortComplex.X₂ · cited by 1115ShortComplex.X₂CategoryTheory.ShortComplex.X₁ · cited by 889ShortComplex.X₁CategoryTheory.ShortComplex.f · cited by 653ShortComplex.fCategoryTheory.ShortComplex.Splitting · cited by 62ShortComplex.SplittingCategoryTheory.IsSplitMono · cited by 33CategoryTheory.IsSplitMonoCategoryTheory.ShortComplex.Splitting.splitMono_f · cited by 2Splitting.splitMono_fSplitting.isSplitMono_fCITED BYCITES

Cites9

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Cited by1

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