Theorems · Theorem · category theory

CategoryTheory.Functor.PreservesRightHomologyOf.isPreservedBy

∀ {C : Type u_1} {D : Type u_2} {inst : CategoryTheory.Category.{v_1, u_1} C}
  {inst_1 : CategoryTheory.Category.{v_2, u_2} D} {inst_2 : CategoryTheory.Limits.HasZeroMorphisms C}
  {inst_3 : CategoryTheory.Limits.HasZeroMorphisms D} {F : CategoryTheory.Functor C D}
  {inst_4 : F.PreservesZeroMorphisms} {S : CategoryTheory.ShortComplex C} [self : F.PreservesRightHomologyOf S]
  (h : S.RightHomologyData), h.IsPreservedBy F

the functor preserves all the right homology data of the short complex

Defined in

Mathlib.Algebra.Homology.ShortComplex.PreservesHomology

Cited by

0 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

CategoryTheory.Functor.PreservesRightHomologyOf