Theorems · Theorem · group theory
Subgroup.subgroupOf_map_subtype
∀ {G : Type u_1} [inst : Group G] (H K : Subgroup G), Subgroup.map K.subtype (H.subgroupOf K) = H ⊓ K- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coeproof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Subgroup.mapstatement · cited by 301
- Set.inter_commproof · cited by 291
- Subgroup.subtypestatement · cited by 185
- Submonoid.toSubsemigroupproof · cited by 159
- Subgroup.subgroupOfstatement · cited by 122
- Subgroup.toSubmonoidproof · cited by 114
- SetLike.ext'proof · cited by 60
- Subtype.image_preimage_coeproof · cited by 37
Cited by10
Results whose statement or proof uses this declaration.
- Subgroup.map_subgroupOf_eq_of_leproof · cited by 4
- MonoidHom.ker_transferSylow_isComplement'proof · cited by 3
- Sylow.normalizer_sup_eq_top'proof · cited by 2
- alternatingGroup.range_ofSubtypeproof · cited by 1
- Subgroup.ker_transferFocal_inf_eq_focalSubgroupproof · cited by 1
- AddSubgroup.inertia_map_subtypeproof · cited by 1
- Subgroup.IsSubnormal.infproof · cited by 0
- Subgroup.exists_right_transversal_of_leproof · cited by 0
- Subgroup.exists_left_transversal_of_leproof · cited by 0
- MulAction.orbitRel_subgroupOfproof · cited by 0