Theorems · Theorem · group theory
AddSubgroup.map_comap_le
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] (f : G →+ N) (H : AddSubgroup N),
AddSubgroup.map f (AddSubgroup.comap f H) ≤ H- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 2 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.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- AddSubgroup.mapstatement · cited by 189
- AddSubgroup.comapstatement · cited by 123
- GaloisConnection.l_u_leproof · cited by 36
- AddSubgroup.gc_map_comapproof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- AddSubgroup.relIndex_comap_ne_zeroproof · cited by 1
- AddSubgroup.card_comap_dvd_of_injectiveproof · cited by 0