Theorems · Theorem · group theory
Subgroup.top_prod
∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] (H : Subgroup N),
⊤.prod H = Subgroup.comap (MonoidHom.snd G N) H- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 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.
- Top.topstatement · cited by 9,680
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Subgroup.comapstatement · cited by 154
- Subgroup.extproof · cited by 108
- Subgroup.prodstatement · cited by 35
- MonoidHom.sndstatement · cited by 31
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.top_prod_topproof · cited by 1