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Theorems · Theorem · group theory

Subgroup.Normal.of_map_subtype

∀ {G : Type u_1} [inst : Group G] {K : Subgroup G} {L : Subgroup ↥K}, (Subgroup.map K.subtype L).Normal → L.Normal
Defined in
Mathlib.Algebra.Group.Subgroup.Basic
Cited by
1 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
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Around this declaration

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

frattini_nilpotent · cited by 0frattini_nilpotentGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupSubgroup.Normal · cited by 334Subgroup.NormalSubgroup.map · cited by 301Subgroup.mapSubgroup.subtype · cited by 185Subgroup.subtypeSubgroup.subtype_injective · cited by 18Subgroup.subtype_injectiveSubgroup.Normal.of_map_injective · cited by 1Normal.of_map_injectiveNormal.of_map_subtypeCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.