Mathlib Map

Theorems · Theorem · group theory

Subgroup.le_comap_map

∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] (f : G →* N) (H : Subgroup G),
  H ≤ Subgroup.comap f (Subgroup.map f H)
Defined in
Mathlib.Algebra.Group.Subgroup.Map
Cited by
1 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Quot.sound
Assumes
GroupGroup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Subgroup.comap_map_eq · cited by 9Subgroup.comap_map_eqGroup · cited by 6238GroupMonoidHom · cited by 3629MonoidHomSubgroup · cited by 3593SubgroupSubgroup.map · cited by 301Subgroup.mapSubgroup.comap · cited by 154Subgroup.comapGaloisConnection.le_u_l · cited by 52GaloisConnection.le_u_lSubgroup.gc_map_comap · cited by 12Subgroup.gc_map_comapSubgroup.le_comap_mapCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.