Theorems · Theorem · category theory

isoOfQuasiIsoAt.congr_simp

∀ {ι : Type u_1} {C : Type u} [inst : CategoryTheory.Category.{v, u} C]
  [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] {c : ComplexShape ι} {K L : HomologicalComplex C c}
  (f f_1 : K ⟶ L) (e_f : f = f_1) (i : ι) [inst_2 : K.HasHomology i] [inst_3 : L.HasHomology i]
  [inst_4 : QuasiIsoAt f i], isoOfQuasiIsoAt f i = isoOfQuasiIsoAt f_1 i

Defined in

Mathlib.Algebra.Homology.QuasiIso

Cited by

0 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsHomologicalComplex.HasHomologyHomologicalComplex.HasHomologyQuasiIsoAt