Theorems · Theorem · group theory

AddCon.lift_unique

∀ {M : Type u_1} {P : Type u_3} [inst : AddZeroClass M] [inst_1 : AddZeroClass P] {c : AddCon M} {f : M →+ P}
  (H : c ≤ AddCon.ker f) (g : c.Quotient →+ P), g.comp c.mk' = f → g = c.lift f H

The uniqueness part of the universal property for quotients of AddMonoids.

Defined in

Mathlib.GroupTheory.Congruence.Hom

Cited by

1 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Quot.sound

Assumes

AddZeroClassAddZeroClass