Theorems · Theorem · group theory
AddSubgroup.map_iSup
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] {ι : Sort u_7} (f : G →+ N)
(s : ι → AddSubgroup G), AddSubgroup.map f (iSup s) = ⨆ i, AddSubgroup.map f (s i)- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 1 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.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- iSupstatement · cited by 2,415
- AddSubgroup.mapstatement · cited by 189
- GaloisConnection.l_iSupproof · cited by 78
- AddSubgroup.gc_map_comapproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.iInf_normalizer_le_normalizer_iSupproof · cited by 0