Theorems · Theorem · group theory
AddSubgroup.addSubgroupOf_map_subtype
∀ {G : Type u_1} [inst : AddGroup G] (H K : AddSubgroup G), AddSubgroup.map K.subtype (H.addSubgroupOf K) = H ⊓ K- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coeproof · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- Set.inter_commproof · cited by 291
- AddSubmonoid.toAddSubsemigroupproof · cited by 198
- AddSubsemigroup.carrierproof · cited by 198
- AddSubgroup.mapstatement · cited by 189
- AddSubgroup.toAddSubmonoidproof · cited by 91
- AddSubgroup.addSubgroupOfstatement · cited by 87
- AddSubgroup.subtypestatement · cited by 82
- SetLike.ext'proof · cited by 60
- Subtype.image_preimage_coeproof · cited by 37
Cited by5
Results whose statement or proof uses this declaration.
- AddSubgroup.map_addSubgroupOf_eq_of_leproof · cited by 2
- AddSubgroup.IsSubnormal.infproof · cited by 0
- AddSubgroup.exists_left_transversal_of_leproof · cited by 0
- AddAction.orbitRel_addSubgroupOfproof · cited by 0
- AddSubgroup.exists_right_transversal_of_leproof · cited by 0