Theorems · Theorem · group theory
AddSubgroup.comap_iInf
∀ {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 N), AddSubgroup.comap f (iInf s) = ⨅ i, AddSubgroup.comap f (s i)- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- iInfstatement · cited by 1,690
- AddSubgroup.comapstatement · cited by 123
- GaloisConnection.u_iInfproof · cited by 40
- AddSubgroup.gc_map_comapproof · cited by 12
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