Theorems · Theorem · category theory

CategoryTheory.ShortComplex.HomologyData.canonical_left_i

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  (S : CategoryTheory.ShortComplex C) [inst_2 : S.HasHomology],
  (CategoryTheory.ShortComplex.HomologyData.canonical S).left.i = S.iCycles

Defined in: Mathlib.Algebra.Homology.ShortComplex.Homology
Cited by: 0 results in Mathlib
Foundations: Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasZeroMorphisms CategoryTheory.ShortComplex.HasHomology

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement · cited by 32,603
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.HasHomologystatement and proof · cited by 253
CategoryTheory.ShortComplex.cyclesstatement · cited by 220
CategoryTheory.ShortComplex.LeftHomologyData.istatement and proof · cited by 144
CategoryTheory.ShortComplex.HomologyData.leftstatement and proof · cited by 130
CategoryTheory.ShortComplex.iCyclesstatement · cited by 100
CategoryTheory.ShortComplex.HomologyData.canonicalstatement and proof · cited by 10

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