Theorems · Theorem · group theory
Subgroup.map_eq_map_iff
∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] {f : G →* N} {H K : Subgroup G},
Subgroup.map f H = Subgroup.map f K ↔ H ⊔ f.ker = K ⊔ f.ker- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- Subgroup.mapstatement · cited by 301
- MonoidHom.kerstatement and proof · cited by 212
Cited by2
Results whose statement or proof uses this declaration.
- Subgroup.Normal.commutator_le_of_self_sup_commutative_eq_topproof · cited by 1
- Subgroup.map_eq_range_iffproof · cited by 1