Theorems · Theorem · group theory
Subgroup.map_iSup
∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] {ι : Sort u_7} (f : G →* N) (s : ι → Subgroup G),
Subgroup.map f (iSup s) = ⨆ i, Subgroup.map f (s i)- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 2 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.
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- iSupstatement · cited by 2,415
- Subgroup.mapstatement · cited by 301
- GaloisConnection.l_iSupproof · cited by 78
- Subgroup.gc_map_comapproof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- PSL.iSup_iwasawaT_eq_topproof · cited by 0
- Subgroup.iInf_normalizer_le_normalizer_iSupproof · cited by 0