Theorems · Theorem · group theory
AddSubgroup.comap_top
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] (f : G →+ N), AddSubgroup.comap f ⊤ = ⊤- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, 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.
- Top.topstatement · cited by 9,680
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- AddSubgroup.comapstatement · cited by 123
- GaloisConnection.u_topproof · cited by 31
- AddSubgroup.gc_map_comapproof · cited by 12
Cited by7
Results whose statement or proof uses this declaration.
- AddAction.IsBlock.translateproof · cited by 4
- AddGroup.nilpotencyClass_quotient_centerproof · cited by 2
- AddGroup.of_quotient_center_nilpotentproof · cited by 1
- AddSubgroup.top_prod_topproof · cited by 1
- AddGroup.isNilpotent_congrproof · cited by 1
- IsSimpleAddGroup.isSimpleAddGroup_of_surjectiveproof · cited by 1
- AddSubgroup.IsSubnormal.comapproof · cited by 1