Theorems · Theorem · category theory

CochainComplex.Plus.quasiIso.congr_simp

∀ (C : Type u_1) [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  [inst_2 : CategoryTheory.CategoryWithHomology C] ⦃X Y : CochainComplex.Plus C⦄ (x x_1 : X ⟶ Y),
  x = x_1 → CochainComplex.Plus.quasiIso C x = CochainComplex.Plus.quasiIso C x_1

Defined in: Mathlib.Algebra.Homology.DerivedCategory.DerivabilityStructureInjectives
Cited by: 0 results in Mathlib
Foundations: Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasZeroMorphisms CategoryTheory.CategoryWithHomology

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
ComplexShape.upstatement · cited by 1,123
CochainComplexstatement · cited by 1,016
CategoryTheory.CategoryWithHomologystatement and proof · cited by 116
CochainComplex.plusstatement · cited by 24
CochainComplex.Plusstatement and proof · cited by 20
CochainComplex.Plus.quasiIsostatement and proof · cited by 6

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