Theorems · Theorem · group theory

AddCon.quotientKerEquivOfRightInverse_apply

∀ {M : Type u_1} {P : Type u_3} [inst : AddZeroClass M] [inst_1 : AddZeroClass P] (f : M →+ P) (g : P → M)
  (hf : Function.RightInverse g ⇑f) (a : (AddCon.ker f).Quotient),
  (AddCon.quotientKerEquivOfRightInverse f g hf) a = (AddCon.kerLift f) a

Defined in

Mathlib.GroupTheory.Congruence.Basic

Cited by

0 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Quot.sound

Assumes

AddZeroClassAddZeroClass