Theorems · Theorem · category theory

CategoryTheory.Abelian.Ext.smul_hom

∀ {R : Type t} [inst : Ring R] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  [inst_2 : CategoryTheory.Abelian C] [inst_3 : CategoryTheory.Linear R C] [inst_4 : CategoryTheory.HasExt C] {X Y : C}
  {n : ℕ} (x : CategoryTheory.Abelian.Ext X Y n) (r : R) [inst_5 : HasDerivedCategory C], (r • x).hom = r • x.hom

Defined in

Mathlib.Algebra.Homology.DerivedCategory.Ext.Linear

Cited by

4 results in Mathlib

Foundations

Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingCategoryTheory.CategoryCategoryTheory.AbelianCategoryTheory.LinearCategoryTheory.HasExtHasDerivedCategory