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Theorems · Theorem · group theory

AddGroup.addConjugatesOfSet_subset

∀ {G : Type u_1} [inst : AddGroup G] {s : Set G} {N : AddSubgroup G} [N.Normal],
  s ⊆ ↑N → AddGroup.addConjugatesOfSet s ⊆ ↑N
Defined in
Mathlib.Algebra.Group.Subgroup.Basic
Cited by
1 results in Mathlib
Foundations
Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupAddSubgroup.Normal
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Around this declaration

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

AddSubgroup.normalClosure_le_normal · cited by 9AddSubgroup.normalClosure…Set · cited by 53352SetSetLike.coe · cited by 8199SetLike.coeAddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddSubgroup.Normal · cited by 183AddSubgroup.NormalSet.iUnion₂_subset · cited by 48Set.iUnion₂_subsetAddGroup.addConjugatesOfSet · cited by 9AddGroup.addConjugatesOfS…AddGroup.addConjugates_subset_normal · cited by 1AddGroup.addConjugates_su…AddGroup.addConjugatesOfSet_s…CITED BYCITES

Cites8

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Cited by1

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