Theorems · Theorem · group theory

QuotientAddGroup.ker_map

∀ {G : Type u_1} {H : Type u_2} [inst : AddGroup G] [inst_1 : AddGroup H] (N : AddSubgroup G) [nN : N.Normal]
  (M : AddSubgroup H) [inst_2 : M.Normal] (f : G →+ H) (h : N ≤ AddSubgroup.comap f M),
  (QuotientAddGroup.map N M f h).ker = AddSubgroup.map (QuotientAddGroup.mk' N) (AddSubgroup.comap f M)

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

AddGroupAddGroupAddSubgroup.NormalAddSubgroup.Normal