Mathlib Map

Theorems · Definition · group theory

Algebra.GrothendieckGroup.lift

{M : Type u_1} →
  {G : Type u_2} → [inst : CommMonoid M] → [inst_1 : CommGroup G] → (M →* G) ≃ (Algebra.GrothendieckGroup M →* G)

A monoid homomorphism from a monoid M to a group G lifts to a group homomorphism from the Grothendieck group of M to G.

Defined in
Mathlib.GroupTheory.MonoidLocalization.GrothendieckGroup
Cited by
2 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidCommGroup

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites11

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.