Theorems · Theorem · group theory

QuotientAddGroup.map_id

∀ {G : Type u_1} [inst : AddGroup G] (N : AddSubgroup G) [nN : N.Normal]
  (h : optParam (N ≤ AddSubgroup.comap (AddMonoidHom.id G) N) ⋯),
  QuotientAddGroup.map N N (AddMonoidHom.id G) h = AddMonoidHom.id (G ⧸ N)

Defined in

Mathlib.GroupTheory.QuotientGroup.Defs

Cited by

0 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddGroupAddSubgroup.Normal