Theorems · Theorem · category theory
CategoryTheory.ShortComplex.RightHomologyData.wp_assoc
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
{S : CategoryTheory.ShortComplex C} (self : S.RightHomologyData) {Z : C} (h : self.Q ⟶ Z),
CategoryTheory.CategoryStruct.comp S.f (CategoryTheory.CategoryStruct.comp self.p h) =
CategoryTheory.CategoryStruct.comp 0 hthe cokernel condition for p
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- Depth 7 from the axioms · uses Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- CategoryTheory.ShortComplex.X₂statement · cited by 1,115
- CategoryTheory.ShortComplex.X₁statement · cited by 889
- CategoryTheory.ShortComplex.fstatement and proof · cited by 653
- CategoryTheory.ShortComplex.RightHomologyDatastatement and proof · cited by 211
- CategoryTheory.ShortComplex.RightHomologyData.Qstatement and proof · cited by 163
- CategoryTheory.ShortComplex.RightHomologyData.pstatement and proof · cited by 84
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