no goals
G : Type u_1
G' : Type ?u.590543
inst✝³ : Group G
inst✝² : Group G'
A : Type ?u.590552
inst✝¹ : AddGroup A
N : Type u_2
inst✝ : Group N
f✝ f : G →* N
H K : Subgroup G
⊢ map f H = map f K ↔ H ⊔ ker f = K ⊔ ker f
simp only [le_antisymm_iff, map_le_map_iff']