Theorems · Theorem · group theory

FreeAbelianGroup.lift_comp

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : AddCommGroup γ] (f : α → β) (g : β → γ) (x : FreeAbelianGroup α),
  (FreeAbelianGroup.lift (g ∘ f)) x = (FreeAbelianGroup.lift g) ((FreeAbelianGroup.map f) x)

Defined in

Mathlib.GroupTheory.FreeAbelianGroup

Cited by

0 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroup