Mathlib Map

Theorems · Theorem · group theory

Subgroup.Normal.of_map_injective

∀ {G : Type u_6} {H : Type u_7} [inst : Group G] [inst_1 : Group H] {φ : G →* H},
  Function.Injective ⇑φ → ∀ {L : Subgroup G}, (Subgroup.map φ L).Normal → L.Normal
Defined in
Mathlib.Algebra.Group.Subgroup.Basic
Cited by
1 results in Mathlib
Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupGroup
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Around this declaration

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

Subgroup.Normal.of_map_subtype · cited by 1Normal.of_map_subtypeDFunLike.coe · cited by 62936DFunLike.coeGroup · cited by 6238GroupMonoidHom · cited by 3629MonoidHomSubgroup · cited by 3593SubgroupSubgroup.Normal · cited by 334Subgroup.NormalSubgroup.map · cited by 301Subgroup.mapSubgroup.comap_map_eq_self_of_injective · cited by 7Subgroup.comap_map_eq_sel…Subgroup.Normal.comap · cited by 3Normal.comapNormal.of_map_injectiveCITED BYCITES

Cites8

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Cited by1

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