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Theorems · Theorem · group theory

AddSubgroup.normalizer_eq_top

∀ {G : Type u_1} [inst : AddGroup G] (H : AddSubgroup G) [h : H.Normal], AddSubgroup.normalizer ↑H = ⊤
Defined in
Mathlib.Algebra.Group.Subgroup.Basic
Cited by
2 results in Mathlib
Foundations
Depth 70 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.Normal.map · cited by 3Normal.mapAddSubgroup.subset_normalizer_of_normal · cited by 2AddSubgroup.subset_normal…Top.top · cited by 9680Top.topSetLike.coe · cited by 8199SetLike.coeAddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddSubgroup.Normal · cited by 183AddSubgroup.NormalAddSubgroup.normalizer · cited by 59AddSubgroup.normalizerAddSubgroup.normalizer_eq_top_iff · cited by 6AddSubgroup.normalizer_eq…AddSubgroup.normalizer_eq_topCITED BYCITES

Cites7

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Cited by2

Results whose statement or proof uses this declaration.