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Theorems · Definition · group theory

Group.conjugatesOfSet

{G : Type u_1} → [Group G] → Set G → Set G

Given a set s, conjugatesOfSet s is the set of all conjugates of the elements of s.

Defined in
Mathlib.Algebra.Group.Subgroup.Basic
Cited by
9 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
Group
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Subgroup.normalClosure · cited by 35Subgroup.normalClosureSubgroup.normalClosure_le_normal · cited by 10Subgroup.normalClosure_le…Group.mem_conjugatesOfSet_iff · cited by 2Group.mem_conjugatesOfSet…Subgroup.normalClosure_union · cited by 1Subgroup.normalClosure_un…Group.subset_conjugatesOfSet · cited by 1Group.subset_conjugatesOf…Group.conjugatesOfSet_subset · cited by 1Group.conjugatesOfSet_sub…Group.conjugatesOfSet_union · cited by 1Group.conjugatesOfSet_uni…Subgroup.conjugatesOfSet_subset_normalClosure · cited by 1Subgroup.conjugatesOfSet_…Group.conj_mem_conjugatesOfSet · cited by 0Group.conj_mem_conjugates…Group.conjugatesOfSet_mono · cited by 0Group.conjugatesOfSet_monoSet · cited by 53352SetGroup · cited by 6238GroupSet.iUnion · cited by 2483Set.iUnionconjugatesOf · cited by 6conjugatesOfGroup.conjugatesOfSetCITED BYCITES

Cites4

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Cited by10

Results whose statement or proof uses this declaration.