Theorems · Theorem · group theory
AddSubgroup.top_prod
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] (H : AddSubgroup N),
⊤.prod H = AddSubgroup.comap (AddMonoidHom.snd G N) H- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 and proof · cited by 3,232
- AddSubgroup.comapstatement · cited by 123
- AddSubgroup.extproof · cited by 75
- AddMonoidHom.sndstatement · cited by 42
- AddSubgroup.prodstatement · cited by 34
- AddSubgroup.mem_topproof · cited by 29
- AddSubgroup.mem_comapproof · cited by 11
- AddSubgroup.mem_prodproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.top_prod_topproof · cited by 1