Theorems · Theorem · group theory
Subgroup.comap_iInf
∀ {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 N),
Subgroup.comap f (iInf s) = ⨅ i, Subgroup.comap 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.
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- iInfstatement · cited by 1,690
- Subgroup.comapstatement · cited by 154
- GaloisConnection.u_iInfproof · cited by 40
- Subgroup.gc_map_comapproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- frattini_le_comap_frattini_of_surjectiveproof · cited by 0