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Theorems · Theorem · group theory

Subgroup.Normal.comap

∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] {H : Subgroup N},
  H.Normal → ∀ (f : G →* N), (Subgroup.comap f H).Normal
Defined in
Mathlib.Algebra.Group.Subgroup.Basic
Cited by
3 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, 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_injective · cited by 1Normal.of_map_injectiveIsSimpleGroup.isSimpleGroup_of_surjective · cited by 1IsSimpleGroup.isSimpleGro…Subgroup.Normal.subgroupOf · cited by 0Normal.subgroupOfDFunLike.coe · cited by 62936DFunLike.coeGroup · cited by 6238GroupMonoidHom · cited by 3629MonoidHomSubgroup · cited by 3593Subgroupmap_mul · cited by 1137map_mulSubgroup.Normal · cited by 334Subgroup.NormalSubgroup.comap · cited by 154Subgroup.comapmap_inv · cited by 95map_invSubgroup.Normal.conj_mem · cited by 23Normal.conj_memNormal.comapCITED BYCITES

Cites9

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Cited by3

Results whose statement or proof uses this declaration.