Theorems · Theorem · group theory
Subgroup.comap_top
∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] (f : G →* N), Subgroup.comap f ⊤ = ⊤- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 10 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
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement · cited by 3,593
- Subgroup.comapstatement · cited by 154
- GaloisConnection.u_topproof · cited by 31
- Subgroup.gc_map_comapproof · cited by 12
Cited by10
Results whose statement or proof uses this declaration.
- MulAction.IsBlock.translateproof · cited by 5
- Group.nilpotencyClass_quotient_centerproof · cited by 3
- MonoidHom.ker_transferSylow_isComplement'proof · cited by 3
- Group.of_quotient_center_nilpotentproof · cited by 3
- Subgroup.top_prod_topproof · cited by 1
- Group.isNilpotent_congrproof · cited by 1
- IsSimpleGroup.isSimpleGroup_of_surjectiveproof · cited by 1
- Subgroup.isCoatom_comap_of_surjectiveproof · cited by 1
- Subgroup.normal_comap_iff_of_surjectiveproof · cited by 1
- Subgroup.IsSubnormal.comapproof · cited by 1