Theorems · Theorem · group theory
Subgroup.map_le_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 ≤ K ⊔ f.ker- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
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
- Subgroup.map_le_iff_le_comapproof · cited by 13
- Subgroup.comap_map_eqproof · cited by 9
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