Theorems · Theorem · group theory
Subgroup.map_comap_le
∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] (f : G →* N) (H : Subgroup N),
Subgroup.map f (Subgroup.comap f H) ≤ H- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Subgroup.comapstatement · cited by 154
- GaloisConnection.l_u_leproof · cited by 36
- Subgroup.gc_map_comapproof · cited by 12
Cited by3
Results whose statement or proof uses this declaration.
- IsZGroup.of_injectiveproof · cited by 1
- Subgroup.relIndex_comap_ne_zeroproof · cited by 1
- Subgroup.card_comap_dvd_of_injectiveproof · cited by 0