Theorems · Theorem · group theory
AddSubgroup.range_subtype
∀ {G : Type u_1} [inst : AddGroup G] (H : AddSubgroup G), H.subtype.range = H- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 16 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- SetLike.coe_injectiveproof · cited by 374
- AddMonoidHom.rangestatement and proof · cited by 142
- Subtype.range_coeproof · cited by 98
- AddSubgroup.subtypestatement and proof · cited by 82
- AddMonoidHom.coe_rangeproof · cited by 4
Cited by16
Results whose statement or proof uses this declaration.
- AddSubgroup.relIndex_comapproof · cited by 7
- AddSubgroup.isAddCyclic_iff_exists_zmultiples_eq_topproof · cited by 4
- AddMonoidHom.ker_eq_bot_of_cancelproof · cited by 2
- AddSubgroup.map_subtype_addCommutatorproof · cited by 2
- AddSubgroup.map_subtype_leproof · cited by 2
- AddSubgroup.IsSubnormal.trans'proof · cited by 2
- AddSubgroup.subtype_rangeproof · cited by 1
- AddSubgroup.addSubgroupOf_normalizer_eqproof · cited by 1
- AddSubgroup.addSubgroupOf_supproof · cited by 1
- AddSubgroup.injective_noncommPiCoprod_of_iSupIndepproof · cited by 0
- AddSubgroup.noncommPiCoprod_rangeproof · cited by 0
- AddSubgroup.independent_of_coprime_orderproof · cited by 0